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Integrated Research on Equilibrium Random Phenomena

Research Project

Project/Area Number 10304006
Research Category

Grant-in-Aid for Scientific Research (A).

Allocation TypeSingle-year Grants
Section一般
Research Field General mathematics (including Probability theory/Statistical mathematics)
Research InstitutionHiroshima University

Principal Investigator

KUBO Izumi  Hiroshima Univ.Graduate School of Sci., Prof., 大学院・理学研究科, 教授 (70022621)

Co-Investigator(Kenkyū-buntansha) MAEJIMA Makoto  Keio Univ., Faculty of Science and Technology, Prof., 理工学部, 教授 (90051846)
OKABE Yasunori  Univ.of Tokyo, Graduate School of Engineering, Prof., 大学院・工学研究科, 教授 (30028211)
FUNAKI Tadahisa  Univ.of Tokyo, Graduate School of Mathematical Science, Prof., 大学院・数理科学研究科, 教授 (60112174)
AIDA Shigeki  Osaka Univ., Graduate School of Engineering Science, Assoc.Prof., 大学院・基礎工学研究科, 助教授 (90222455)
OBATA Nobuaki  Nagoya Univ., Graduate School of Mathematics, Assoc.Prof., 大学院・多元数理科学研究科, 助教授 (10169360)
平良 和昭  筑波大学, 数学系, 教授 (90016163)
佐藤 坦  九州大学, 大学院・数理学研究科, 教授 (30037254)
井原 俊輔  名古屋大学, 情報文化学部, 教授 (00023200)
岩田 耕一郎  広島大学, 理学部, 助教授 (20241292)
Project Period (FY) 1998 – 2000
Project Status Completed (Fiscal Year 2000)
Budget Amount *help
¥21,900,000 (Direct Cost: ¥21,900,000)
Fiscal Year 2000: ¥7,400,000 (Direct Cost: ¥7,400,000)
Fiscal Year 1999: ¥7,000,000 (Direct Cost: ¥7,000,000)
Fiscal Year 1998: ¥7,500,000 (Direct Cost: ¥7,500,000)
KeywordsStochastic Analysis / Infinite dimensional Analysis / White Noise Analysis / Informatic Analysis / Non-Linear Analysis / Quantum Analysis / Dynamical Systems / Self-Similar Processes / 確率論 / 平衡現象 / 複雑系 / フラクタル / エルゴード理論 / 情報理論 / ガウス過程 / 安定過程
Research Abstract

Various important random phenomena are considered as equilibrium states. In this point of view, we have researched for three years. In the period, we held 24 symposia by the grant. Here some of our results are described along key words below.
1 Stochastic Analysis : Aida got very deep results on loop spaces especially about log-Sobolev inequalities, spectral gaps, Clark-Ocone formula etc.
2 Non-Linear and Stochastic Analysis : Funaki researched on Burger equations with fractal Laplacian, especially about the existence of global solution, the uniqueness, the regularities etc. Further, he researched progressive wave solutions and self-similar solutions.
3 White Noise Analysis : Kubo gave a new method of construction of white noise spaces, which is very clear and general. He gave also good characterization theorems. Those results were presented in the symposium held at Indian Statistical Institute in Calcutta. Obata researched the characterization of operators on the spaces by means of their … More symbols. He applied it stochastic differential equations.
4 Informatic Analysis : Ihara researched very general Gaussian channels with feed back and proved a general formula of mutual information. He discussed applications of large deviation theory to information theory. ue obtained the minimum coding rate for error in the case of stationary Gaussian source. Okabe developed an integrated system of various tests which had been proposed by him to analyze time series under the principle of "Fluctuation and Deviation Theorem". Further he constructed KM_20-Langevin equation for flow in metric vectors and applied it.
5 Self Similar Process : Takenaka showed the deterministic property of distribution of SaS-processes by its finite dimensional distributions. Maejima introduced the concept of semi-self-similar distributions and extended it to that of semi-self-similar processes, operator semi-self-similar distributions and etc. He researched them very deeply.
Other results are found in the report and lists of papers by co-researchers. Less

Report

(4 results)
  • 2000 Annual Research Report   Final Research Report Summary
  • 1999 Annual Research Report
  • 1998 Annual Research Report
  • Research Products

    (323 results)

All Other

All Publications (323 results)

  • [Publications] Nobuhiro.Asai: "Bell numbers, log-concavity, and log-convexity"Acta Appl.Math.. (in press). (2001)

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      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Nobuhiro Asai: "General characterization theorems and intrinsic topologies in white noise analysis"Hiroshima Math.J.. (in press). (2001)

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      2000 Final Research Report Summary
  • [Publications] Nobuhiro Asai: "Roles of Log-concavity, log-convexity, and growth order in white noise analysis"Infinite Dimensional Analysis and Quantum Probability. (in press). (2001)

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      2000 Final Research Report Summary
  • [Publications] Kazuaki Taira: "Feller semigroups and degenerate elliptic operators with Ventcel' boundary conditions"Studia Matematica. 144(in press). (2001)

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      「研究成果報告書概要(和文)」より
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      2000 Final Research Report Summary
  • [Publications] Kazuaki Taira: "Positive solutions of diffusive logistic equations"Taiwanese Journal of Mathematics. 5. 1-24 (2001)

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      2000 Final Research Report Summary
  • [Publications] Kazuaki Taira: "Feller semigroups generated by degenerate elliptic operators II"in "the Proceedings of the First International Conference on Semigroups of Operators". 304-319 (2001)

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      2000 Final Research Report Summary
  • [Publications] Tadahisa Funaki: "Fluctuations for ▽φ interface model on a wall"Stoch.Proc.Appl.. (in press). (2001)

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      「研究成果報告書概要(和文)」より
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      2000 Final Research Report Summary
  • [Publications] Tadahisa Funaki: "Large deviations for the Ginzburg-Landau ▽φ interface model."Probab.Theory Relat.Fields. 20(in press). (2001)

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      2000 Final Research Report Summary
  • [Publications] Yasunori Okabe: "Time series analysis with wavelet coefficients"Journal of Indust.Appl.Math.. 18. 129-158 (2001)

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      2000 Final Research Report Summary
  • [Publications] Yasunori Okabe: "On a non-linear prediction problem for one-dimensional stochastic processes"Journal of Math.Soc.of Japan. (in press). (2001)

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      2000 Final Research Report Summary
  • [Publications] Shunsuke Ihara: "Large deviation theorems for Gaussian processes and their applications in information theory"Acta Applicande Math.. (in press). (2001)

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      2000 Final Research Report Summary
  • [Publications] Nobuaki Obata: "Quadratic quantum white noises and Levy Laplacian"Nonlinear Analysis. (in press). (2001)

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      2000 Final Research Report Summary
  • [Publications] Y.Hashimoto: "A quantum aspect of asymptotic spectral analysis of large Hamming graphs"Quantum Information III. (in press). (2001)

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      2000 Final Research Report Summary
  • [Publications] Nobuaki Obata: "White noise operator theory : Fundamental concepts and developing applications"Proceedings of Volterra International School. (in press). (2001)

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      2000 Final Research Report Summary
  • [Publications] Nobuaki Obata: "Coherent state representation and unitarity condition in white noise calculus"J.Korean Math.Soc.. 38(in press). (2001)

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      2000 Final Research Report Summary
  • [Publications] Nobuaki Obata: "Coherent state representations in white noise calculus"Can.Math.Soc.Proceedings Series. (in press). (2001)

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      2000 Final Research Report Summary
  • [Publications] Nobuaki Obata: "Complex white noise and coherent state representation"Acta Appl.Math.. (in press). (2001)

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      2000 Final Research Report Summary
  • [Publications] Nobuaki Obata: "Unitarity criterion in white noise calculus and nonexistence of unitary evolutions driven by higher powers of quantum white noises"Proc.Mexico Guanajuato Conference. (in press). (2001)

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      「研究成果報告書概要(和文)」より
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      2000 Final Research Report Summary
  • [Publications] Nobuaki Obata: "Quadratic quantum white noises and Levy Laplacian"Nonliner Analysis. (in press). (2001)

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      「研究成果報告書概要(和文)」より
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      2000 Final Research Report Summary
  • [Publications] Shigeki Aida: "An estimate of the gap of spectrum of Schroedinger operators which generate hyperbounded semigroups"J.Funct.Anal.. (in press). (2001)

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      2000 Final Research Report Summary
  • [Publications] Shigeki Aida: "On the short time asymptotics of transition probability of diffusion on path groups"Potential Analysis. (in press). (2001)

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      2000 Final Research Report Summary
  • [Publications] Shigeki Aida: "Short time asymptotics of certain infinite dimensional diffusion processes"the Proceedings of 7th Workshop on stochastic analysis and related topics, Progress in Probability. (in press). (2001)

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      2000 Final Research Report Summary
  • [Publications] Shigeki Aida: "On the irreducibility of the Dirichlet forms in infinite dimensional spaces"Osaka J.Math.. (in press). (2001)

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      2000 Final Research Report Summary
  • [Publications] M.Denker: "Sierpinski gasket as a Martin boundary I"Potential Analysis. (in press). (2001)

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      「研究成果報告書概要(和文)」より
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      2000 Final Research Report Summary
  • [Publications] Nobuhiro Asai: "Characterization of test functions in CKS-space"Mathematical Physics and Stochastic Analysis. 68-78 (2000)

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      2000 Final Research Report Summary
  • [Publications] Nobuhiro Asai: "CKS-space in terms of growth functions"Quantum Information II. 17-27 (2000)

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      2000 Final Research Report Summary
  • [Publications] Nobuhiro Asai: "Characterization of Hida measures in white noise analysis"Infinite Dimensional Harmonic Analysis. 70-83 (2000)

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      2000 Final Research Report Summary
  • [Publications] Nobuhiro Asai: "Feynman integrals associated with Albeverio-Hoegh-Krohn and Laplace transform potentials"Stochastics in Finite and Infinite Dimensions. 29-48 (2000)

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      2000 Final Research Report Summary
  • [Publications] Kazuaki Taira: "A degenerate Neumann problem for quasilinear elliptic equations"Tokyo Journal of Mathematics. 23. 227-234 (2000)

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      2000 Final Research Report Summary
  • [Publications] Kazuaki Taira: "Stability in chemical reactor theory"Proceedings of the Sixth International Conference on Evolution Equations and their Applications in Physical and Life Sciences. 421-433 (2000)

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      2000 Final Research Report Summary
  • [Publications] Kazuaki Taira: "Feller semigroups generated by degenerate elliptic operators"Semigroup Forum. 60. 296-309 (2000)

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      2000 Final Research Report Summary
  • [Publications] K.Umezu: "Positive solutions of semilinear elliptic boundary value problems in chemical reactor theory"the Proceedings of the International Society for Analysis, Applications and Computation '97 Congress. 415-422 (2000)

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      2000 Final Research Report Summary
  • [Publications] Tadahisa Funaki: "Recent results on the Ginzburg-Landau ▽φ interface model"Hydrodynamic Limits and Related Topics. 71-81 (2000)

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      2000 Final Research Report Summary
  • [Publications] Yasunori Okabe: "On the theory of KM_2O-Langevin equations for stationary flows (III) : extension theorem"Hokkaido Math.J.. 369-382 (2000)

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      2000 Final Research Report Summary
  • [Publications] Yasunori Okabe: "On a non-linear prediction analysis for multi-dimensional stochastic processes with its applications to data analysis"Hokkaido Math.J.. 601-657 (2000)

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      2000 Final Research Report Summary
  • [Publications] Makoto Maejima: "Completely operator semi-self decomposable distributions"Tokyo J.Math.. 239-453 (2000)

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      2000 Final Research Report Summary
  • [Publications] Makoto Maejima: "Distributions of selfsimilar and semi-selfsimilar processes with independent Increments"Statist.Probab.Lett.. 47. 395-401 (2000)

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      2000 Final Research Report Summary
  • [Publications] Shunsuke Ihara: "Error exponent for coding of memoryless Gaussian sources with a fidelity Criterion"IEICE Trans.Fundamentals. E83-A. 1891-1897 (2000)

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      2000 Final Research Report Summary
  • [Publications] Nobuaki Obata: "A note on coherent state representations of white noise operators"Quantum Information II. 135-147 (2000)

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      2000 Final Research Report Summary
  • [Publications] U.C.Ji: "Initial value problem for white noise operators and quantum stochastic processes"Infinite Dimensional Harmonic Analysis. 203-216 (2000)

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      2000 Final Research Report Summary
  • [Publications] D.M.Chung: "Normal-ordered white noise differential equations I : Existence of solutions as Fock space operators"Trends in Contemporary Infinite Dimensional Analysis and Quantum Probability. 115-135 (2000)

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      2000 Final Research Report Summary
  • [Publications] K.Oosawa: "Colour-coding reveals tandem repeats in the Escherichia coli genome"J.Mol.Biology. 298. 343-349 (2000)

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      2000 Final Research Report Summary
  • [Publications] Shigeki Aida: "Precise Gaussian lower bounds on heat kernels"Stochastics in Finite and Infinite Dimensions. 1-28 (2000)

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      2000 Final Research Report Summary
  • [Publications] Shigeki Aida: "Stochastic analysis on loop spaces"Sugaku expositions. 13. 197-214 (2000)

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  • [Publications] Shigeki Aida: "Equivalence of heat kernel measure and pinned Wiener measure on loop groups"C.R.Acad.Sci.Paris,. 331. 709-712 (2000)

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  • [Publications] Shigeki Aida: "Logarithmic derivatives of heat kernels and logarithmic Sobolev inequalities with unbounded diffusion coefficients on loop spaces"J.Funct.Anal.. 174. 430-477 (2000)

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      2000 Final Research Report Summary
  • [Publications] Keizo Takashima: "Random walk tests and Pseudorandom number generators"Proceedings of International Conference of Mathematical Analysis and Applications, Gyeongsang National Univ.. 262-273 (2000)

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  • [Publications] Keizo Takashima: "Hybrid pseudo-random number generation"Monte Carlo Methods and Applications. 6. 49-59 (2000)

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  • [Publications] A.Danilonko: "On measure theoretical analogue of the Takesaki structure theorem for type III factors"Colloquim Mathematicum. 84/85. 485-493 (2000)

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  • [Publications] Toshihiro Hamachi: "On nonsingular Chacon transformations"Illinois Journal Math. 44. 1-16 (2000)

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  • [Publications] Toshihiro Hamachi: "Canonical subrelations of ergodic equivalence relation-subrelations"Journal of Operator Theory. 43. 3-34 (2000)

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  • [Publications] Izumi Kubo: "White noise analysis associated with sequences of numbers"Infinite Dimensional Analysis, Quantum Probability and Related Topics. 2. 315-336 (1999)

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  • [Publications] Kazuaki Taira: "Brownian motion, de Rham complex and index formulas"in the Proceedings of the Symposium on Analysis and Probability 1998 : Trends in Probability and Related Analysis. 159-176 (1999)

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  • [Publications] K.Umezu: "Growing-up positive solutions of semilinear elliptic boundary value problems"Journal of Mathematical Analysis and Applications. 238. 196-215 (1999)

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      2000 Final Research Report Summary
  • [Publications] Kazuaki Taira: "Feller Semigroups and degenerate elliptic operators II"Conferenze del Seminario di Matematica dell'Universia di Bari. 275. 1-34 (1999)

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  • [Publications] Kazuaki Taira: "Feller Semigroups and degenerate elliptic operators I"Conferenze del Seminario di Matematica dell'Universia di Bari. 274. 1-33 (1999)

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  • [Publications] P.Palagachev: "A degenerate Neumann problem for quasilinear elliptic integro-differential operators"Mathematische Zeitschrift. 230. 679-694 (1999)

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  • [Publications] P.Biler: "Interacting particle approximation for nonlocal quadratic evolution problems"Probability and Mathematical Statistics. 19. 267-286 (1999)

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  • [Publications] Tadahisa Funaki: "Singular limit for stochastic reaction-diffusion equation and generation of random interfaces"Acta Mathematica Sinica, English Series. 15. 407-438 (1999)

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  • [Publications] Tadahisa Funaki: "Free boundary problem from stochastic lattice gas model"Ann.Inst.Henri Poincare. 35. 573-603 (1999)

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  • [Publications] 岡部靖憲 他: "隣接する地域間における大気汚染物質濃度の相互因果解析"計測自動制御学会論文集. 35. 1524-1529 (1999)

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  • [Publications] Yasunori Okabe: "On the theory of KM_2O-Langevin equations for stationary flows (I): characterization theorem"J.Math.Soc.Japan. 51. 817-841 (1999)

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      2000 Final Research Report Summary
  • [Publications] Makoto Maejima: "Some multivariate infinitely divisible distributions and their projections"Probab.Math.Statist.. 19. 421-428 (1999)

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  • [Publications] Makoto Maejima: "Operator semi-selfdecomposability, (C,Q)-decomposability and related nested classes"Tokyo J.Math. 22. 473-509 (1999)

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  • [Publications] Makoto Maejima: "Exponents of semi-selfsimilar processes"Yokohama Math.J.. 47. 93-102 (1999)

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  • [Publications] Makoto Maejima: "Certain probabilistic aspects on semistable laws"Ann.Inst.Statist.Math.. 51. 449-462 (1999)

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      2000 Final Research Report Summary
  • [Publications] Makoto Maejima: "Semi-selfsimilar processes"J.Theoret.Probab.. 12. 347-383 (1999)

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      2000 Final Research Report Summary
  • [Publications] Shunsuke Ihara: "Information transmission over continuous-time Gaussian channels with feedback"Problems of Inform.Transmission. 35. 10-24 (1999)

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      2000 Final Research Report Summary
  • [Publications] D.M.Chung: "Normal-orded white noise differential equations II : Regularity properties of solutions"in "Probability Theory and Mathematical Statistics". 157-174 (1999)

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      「研究成果報告書概要(和文)」より
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      2000 Final Research Report Summary
  • [Publications] Nobuaki Obata: "A method for information analysis of sequences by two-dimensional pattern formation with coloration"in "Quantum Information". 27-58 (1999)

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      2000 Final Research Report Summary
  • [Publications] Nobuaki Obata: "Wick product of white noise operators and quantum stochastic differential equations"J.Math.Soc.Japan. 51. 613-641 (1999)

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      2000 Final Research Report Summary
  • [Publications] Nobuaki Obata: "A note on normal-ordered white noise equations"Invited Lectures at the VIII-th Internat.. 109-118 (1999)

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      2000 Final Research Report Summary
  • [Publications] Keizo Takashima: "Random walk tests and Feedback Polynomials of m-sequences"Proceedings of Fifth International Conference on Pattern Recognition and Information Processing. 1. 267-271 (1999)

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      2000 Final Research Report Summary
  • [Publications] H.Sugimura: "On a Fractal Approarch to Actual Plant Images"Proceedings of Fifth International Conference on Pattern Recognition and Information Processing. 2. 134-138 (1999)

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  • [Publications] Shigeo Takenaka: "On determinism of set-indexed S α S-processes"Trends in probability and related analysis 1999. 285-290 (1999)

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      2000 Final Research Report Summary
  • [Publications] M.Denker: "Sierpinski gasket as a Martin boundary II, The intrinsic metric"Publ.Res.Inst.Math.Sci.. 35. 769-794 (1999)

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  • [Publications] H.Mizumachi: "Absolute continuity of symmetric three-valued random translation of a Gaussian sequence"Trends in Probability and Related Analysis. 263-272 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Izumi Kubo: "Entire Functionals and generalized functionals in white noise analysis"Analysis on infinite-dimensional Lie groups and algebra. 207-215 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Kazuaki Taira: "Bifurcation theory for semilinear elliptic boundary value problems"Hiroshima Mathematical Journal. 28. 261-308 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Kazuaki Taira: "Boundary value problems of nonlinear elastostatics"in the Proceedings of the Conference on Generalized Analytic Functions -Theory and Applications. 183-195 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Kazuaki Taira: "Introduction to semilinear elliptic boundary value problems"Taiwanese Journal of Mathematics. 2. 127-172 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Kazuaki Taira: "Semilinear elliptic boundary value problems in chemical reactor theory"Journal of Differential Equations. 142. 434-454 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Kazuaki Taira: "Feller semigroups with boundary conditions"in the Proceedings of the Third International Conference on Functional Analysis and Approximation Theory. 52. 157-173 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Tadahisa Funaki: "Interacting particle approximation for fractal Burgers equation"Stochastic Processes and Related Topics. 141-166 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] 舟木直久: "相分離の確率モデルと界面の運動方程式"数学. 50. 68-85 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Yasunori Okabe: "The theory of KM_2O-Langevin equations and its applicationsto data analysis (III) : deterministic analysis (III) : deterministic analysis"Nagoya Math.J.. 175-201 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] P.Biler: "Fractal Burgers equations"J.Differential Equations. 148. 9-46 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Makoto Maejima: "Semi-selfdecomposable distributions and a new class of limit theorems"Probab.Th.Rel.Fields. 112. 13-31 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Nobuaki Obata: "Higher powers of quantum white noises in terms of integral kernel operators"Infinite Dim.Anal.Quantum Prob.. 1. 533-559 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Nobuaki Obata: "A note on Hida's whiskers and complex white noise"Analysis on Infinite-Dimensional Lie Groups and Algebras. 321-336 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] L.Accardi: "A role of singletons in quantum central limit theorems"J.Korean Math.Soc.. 35. 675-690 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] L.Accardi: "Singleton independence"Banach Center Publications. 43. 9-24 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] L.Accardi: "Notions of independence related to the free group"Infinite Dim.Anal.Quantum Prob.. 1. 201-220 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] D.M.Chung: "Transformations on white noise functions associated with second order differential operators of diagonal type"Nagoya Math.J.. 149. 173-192 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Shigeki Aida: "Uniform Positivity Improving Property, Sobolev Inequalities and Spectral Gaps"Journal of Functional Analysis. 158. 152-185 (1998)

    • Description
      「研究成果報告書概要(和文)」より
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      2000 Final Research Report Summary
  • [Publications] 会田茂樹: "ループ空間上の確率解析"数学. 265-281 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Keizo Takashima: "Random walk tests of pseudorandom number generations by cellular automata"Proceedings of the 3-rd St.Peterburg Workshop on Simulation. 302-305 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] 高嶋恵三: "擬似乱数とrandom walk検定"計算機統計学. 11. 35-44 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Koichiro Iwata: "Markov Property and cokernels of Local Operators"London Math.Soc.. 58. 657-672 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Kazuaki Taira: "Brownian motion and index formulas for the de Rham complex, Mathematical Research No.106"WILEY-VCH. 215 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Nobuhiro Asai etal: "Bell numbers, log-concavity, and log-convexity"Acta Appl.Math.. (Publisher, in press). (2001)

    • Description
      「研究成果報告書概要(欧文)」より
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      2000 Final Research Report Summary
  • [Publications] Nobuhiro Asai etal: "General characterization theorems and intrinstic topologies in white noise analysis"Hiroshima Math.J.. (in press). (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Nobuhiro Asai etal: "Roles of Log-concavity, log-convexity, and growth order in white noise analysis"Infinite Dimensional Analysis and Quantum Probability. (in press). (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Kazuaki Taira: "Feller semigroups and degenerate elliptic operators with Ventcel' boundary conditions"Studia Matematica. Vol.144, (in press). (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Kazuaki Taira: "Positive solutions of diffusive logistic equations"Taiwanese Journal of Mathematics. Vol.5. 1-24 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Kazuaki Taira: "Feller semigroups generated by degenerate elliptic operators II"in "the Proceedings of the First International Conference on Semigroups of Operators". 304-319 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Tadahisa Funaki etal: "Fluctuations for ∇φ interface model on a wall"Stoch.Proc.Appl.. (in press). (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Tadahisa Funaki etal: "Large deviations for the Ginzburg-Landau ∇φ interface model"Probab.Theory Relat.Fields. (in press). (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Yasunori Okabe etal: "Time series analysis with wavelet coefficients"Journal of Indust.Appl.Math.. Vol.18. 129-158 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Yasunori Okabe etal: "On a non-linear prediction problem for one-dimensional stochastic processes"Journal of Math.Soc.of Japan. (in press). (2001)

    • Description
      「研究成果報告書概要(欧文)」より
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      2000 Final Research Report Summary
  • [Publications] Shunsuke Ihara: "Large deviation theorems for Gaussian processes and their applications in information theory"Acta Applicande Math. (in press). (2001)

    • Description
      「研究成果報告書概要(欧文)」より
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      2000 Final Research Report Summary
  • [Publications] Nobuaki Obata: "Quadratic quantum white noises and Levy Laplacian"Nonlinear Analysis. (in press). (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Y.Hashimoto etal: "A quantum aspect of asymptotic spectral analysis of large Hamming graphs"in "Quantum Information III". (in press). (2001)

    • Description
      「研究成果報告書概要(欧文)」より
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      2000 Final Research Report Summary
  • [Publications] Nobuaki Obata: "White noise operator theory : Fundamental concepts and developing applications"in "Proceedings of Volterra International School". (in press). (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Nobuaki Obata: "Coherent state representation and unitarity condition in white noise calculus"J.Korean Math.Soc.. 38(in press). (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Nobuaki Obata: "Coherent state representations in white noise calculus"Can.Math.Soc.Proceedings Series. (in press). (2001)

    • Description
      「研究成果報告書概要(欧文)」より
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      2000 Final Research Report Summary
  • [Publications] Nobuaki Obata: "Complex white noise and coherent state representation"Acta Appl.Math.. (in press). (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Nobuaki Obata: "Unitarity criterion in white noise calculus and nonexistence of unitary evolutions driven by higher powers of quantum white noises"in "Proc.Mexico Guanajuato Conference". (in press). (2001)

    • Description
      「研究成果報告書概要(欧文)」より
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      2000 Final Research Report Summary
  • [Publications] Nobuaki Obata: "Quadratic quantum white noises and Levy Laplacian."Nonliner Analysis. (in press). (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Shigeki Aida: "An estimate of the gap of spectrum of Schroedinger operators which generate hyperbounded semigroups"J.Funct.Anal.. (in press). (2001)

    • Description
      「研究成果報告書概要(欧文)」より
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      2000 Final Research Report Summary
  • [Publications] Shigeki Aida etal: "On the short time asymptotics of transition probability of diffusion on path groups"Potential Analysis. (in press). (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Shigeki Aida etal: "Short time asymptotics of certain infinite dimensional diffusion processes"in "the Proceedings of 7th Workshop on stochastic analysis and related topics", Progress in Probability, Birkhauser.. (in press). (2001)

    • Description
      「研究成果報告書概要(欧文)」より
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      2000 Final Research Report Summary
  • [Publications] Shigeki Aida: "On the irreducibility of the Dirichlet forms in infinite dimensional spaces"Osaka J.Math.. (in press). (2001)

    • Description
      「研究成果報告書概要(欧文)」より
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  • [Publications] M.Denker etal: "Sierpinski gasket as a Martin boundary I(The Martin Kernels)"Potential Analysis. (in press). (2001)

    • Description
      「研究成果報告書概要(欧文)」より
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      2000 Final Research Report Summary
  • [Publications] Nobuhiro Asai etal: "Characterization of test functions in CKS-space."in "Mathematical Physics and Stochastic Processes", World Scientific. 68-78 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
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      2000 Final Research Report Summary
  • [Publications] Nobuhiro Asai etal: "CKS-space in the terms of growth functions."in "Quantum Information II", World Sci.Publishing. 17-27 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
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      2000 Final Research Report Summary
  • [Publications] Nobuhiro Aasai etal: "Characterization of Hida measures in white noise analysis."in "infinite Dimensional Harmonic Analysis". 70-83 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
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      2000 Final Research Report Summary
  • [Publications] Nobuhiro Asai etal: "Feynman integrals associated with Albeverio-Hoegh-Krohn and Laplace transform potentials"in "Stochastics in Finite and Infinite Dimensions". 29-48 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
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      2000 Final Research Report Summary
  • [Publications] Kazuaki Taira: "A degenerate Neumann problem for quasilinear elliptic equations"Tokyo Journal of Mathematics. Vol.23, No.1. 227-234 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Kazuaki Taira etal: "Stability in chemical reactor theory"in the Proceedings of the Sixth International Conference on Evolution Equations and their Applications in Physical and Life Sciences". 421-433 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Kazuaki Taira etal: "Feller semigroups generated by degenerate elliptic operators"Semigroup Forum. Vol.60, No.2. 296-309 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
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      2000 Final Research Report Summary
  • [Publications] K.Umezu etal: "Positive solutions of semilinear elliptic boundary value problems in chemical reactor theory"in "the Proceedings of the International Society for Analysis, Applications and Computation '97 Congress". 415-422 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
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      2000 Final Research Report Summary
  • [Publications] Tadahisa Funaki: "Recent results on the Ginzburg- Landau ∇φ interface model."Hydrodynamic Limits and Related Topics. 71-81 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Yasunori Okabe etal: "On the theory of KM_2O-Langevin equations for stationary flows(III) : extension theorem"Hokkaido Math.J.. Vol.29. 369-382 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Yasunori Okabe etal: "On a non-linear prediction analysis for multi-dimensional stochastic processes with its applications to data analysis"Hokkaido Math.J.. Vol.29. 601-657 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] M.Maejima etal: "Completely operator semi-selfdecomposable distributions"Tokyo J.Math.. 239-253 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
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      2000 Final Research Report Summary
  • [Publications] M.Maejima etal: "Distributions of selfsimilar and semi-selfsimilar processes with independent increments"Statist.Probab.Lett.. 47. 395-401 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
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      2000 Final Research Report Summary
  • [Publications] Shunske Ihara etal: "Error exponent for coding of memoryless Gaussian sources with a fidelity criterion"IEICE Trans.Fundamentals. E83-A. 1891-1897 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
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      2000 Final Research Report Summary
  • [Publications] Nobuaki Obata: "A note on coherent state representations of white noise operators"in "Quantum Information II". 135-147 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] U.C.Ji etal: "Initial value problem for white noise operators and quantum stochastic processes"in "Infinite Dimensional Harmonic Analysis". 203-216 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
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      2000 Final Research Report Summary
  • [Publications] D.M.Chung etal: "Normal-ordered white noise differential equations I : Existence of solutions as Fock space operators"in "Trends in Contemporary Infinite Dimensional Analysis and Quantum Probability". 115-135 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
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      2000 Final Research Report Summary
  • [Publications] K.Oosawa etal: "Colour-coding revceals tandem repeats in the Escherichia coli genome"J.Mol.Biology. 298. 343-349 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
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      2000 Final Research Report Summary
  • [Publications] Shigeki Aida: "Precise Gaussian lower bounds on heat kernels"in "Stochastics in Finite and Infinite Dimensions". 1-28 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
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  • [Publications] Shigeki Aida: "Stochastic analysis on loop spaces"Sugaku expositions. Vol.13, Number 2. 197-214 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
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  • [Publications] Shigeki Aida etal: "Equivalence of heat kernel measure and pinned Wiener measure on loop groups"C.R.Acad.Sci.Paris. t.331, Serie I. 709-712 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
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      2000 Final Research Report Summary
  • [Publications] Shigeki Aida: "Logarithmic derivatives of heat kernels and logarithmic Sobolev inequalities with unbounded diffusion coefficients on loop spaces"J.Funct.Anal.. 174. 430-477 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
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      2000 Final Research Report Summary
  • [Publications] Keizo Takashima: "Random walk tests and Pseudorandom number generators"in "Proceedings of International Conference of Mathematical Analysis and Applications", Gyeongsang National Univ.. 262-273 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
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      2000 Final Research Report Summary
  • [Publications] Keizo Takashima: "Hybrid pseudo-random number generation"Monte Carlo Methods and Applications. 6. 49-59 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
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      2000 Final Research Report Summary
  • [Publications] A.Danilenko etal: "On measure theoretical analogue of the Takesaki structure theorem for type III factors"Colloquim Mathematicum. vol 84/85. 485-493 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
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  • [Publications] Toshihiro Hamachi etal: "On nonsingular Chacon transformations"Illinois Journal Math.. Vol.44. 1-16 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
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      2000 Final Research Report Summary
  • [Publications] Toshihiro Hamachi: "Canonical subrelations of ergodic equivalence relation-subrelations"Journal of Operator Theory. Vol.43. 3-34 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
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      2000 Final Research Report Summary
  • [Publications] Izumi Kubo etal: "White noise analysis on a new space of Hida distributions."Infinite Dimensional Analysis, Quantum Probability and Related Topics. Vol.2. 315-336 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Kazuaki Taira: "Brownian motion, de Rham complex and index formulas"in "the Proceedings of the Symposium on Analysis and Probability 1998 : Trends in Probability and Related Analysis". 159-176 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] K.Umezu etal: "Growing-up positive solutions of semilinear elliptic boundary value problems"Journal of Mathematical Analysis and Applications. Vol.238, No.1. 196-215 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Kazuaki Taira: "Feller Semigroups and degenerate elliptic operators II"Conferenze del Seminario di Matematica dell' Universia di Bari. No.275. 1-34 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
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      2000 Final Research Report Summary
  • [Publications] Kazuaki Taira: "Feller Semigroups and degenerate elliptic operators I"Conferenze del Seminario di Matematica dell' Universia di Bari. No.274. 1-33 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
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      2000 Final Research Report Summary
  • [Publications] P.Palagachev etal: "A degenerate Neumann problem for quasilinear elliptic integro-differential operators"Mathematische Zeitschrift. Vol.230. 679-694 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
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      2000 Final Research Report Summary
  • [Publications] P.Biler etal: "Interacting particle approximation for nonlocal quadratic evolution problems"Mathematical Statistics. Vol.19. 267-286 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
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      2000 Final Research Report Summary
  • [Publications] Tadahisa Funaki: "Singular limit for stochastic reaction-diffusion equation and generation of random interfaces"Acta Mathematica Sinica, English Series. Vol.15. 407-438 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
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      2000 Final Research Report Summary
  • [Publications] Tadahisa Funaki: "Free boundary problem form stochastic lattice gas model"Ann.Inst.Henri Poincare. Vol.35. 573-603 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Yasunori Okabe etal: "Mutual causal analysis of density of air contamination material among neighboring areas"Auto Measurement Society. 35. 1524-1529 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Yasunori Okabe: "On the theory of KM_2O-Langevin equations for stationary flows(I) : characterization theorem"J.Math.Soc.Japan. Vol.51. 817-841 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Makoto Maejima etal: "Some multivariate infinitely divisible distributions and their projections"Probab.Math.Statist.. Vol.19. 421-428 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Makoto Maejima etal: "Operator semi-self- decomposability, (C, Q)-decomposability and related nested classes"Tokyo J.Math.. 22. 473-509 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
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      2000 Final Research Report Summary
  • [Publications] Makoto Maejima etal: "Exponents of semi-selfsimilar processes"Yokohama Math.J.. Vol.47. 93-102 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Makoto Maejima etal: "Certain probabilistic aspects on semistable laws"Ann.Inst.Statist.Math.. 51. 449-462 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Makoto Maejima etal: "Semi-selfsimilar procecsses"J.Theor.Probab.. 12. 347-383 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Shunsuke Ihara: "Information transmission over continuous-time Gaussian channels with feedback"Problems of Inform.Transmission. 35. 10-24 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] D.M.Chung etal: "Normal-ordered white noise differential equations II : Regularity properties of solutions"in "Probability Theory and Mathematical Statistics". 157-174 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Nobuaki Obata etal: "A method for information analysis of sequences by two-dimensional pattern formation with coloration"in "Quantum Information". 27-58 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Nobuaki Obata: "Wick product of white noise operators and quantum stochastic differential equations"J.Math.Soc.Japan. Vol.51. 613-641 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Nobuaki Obata: "A note on normal-ordered white noise equations"in "Invited Lectures at the VIII-th Internat". 109-118 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Keizo Takashima: "Random walk tests and Feedback Polynomials of m-sequences"in "Proceedings of Fifth International Conference on Pattern Recognition and Information Processing". Vol.1. 267-271 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] H.Sugiura etal: "On a Fractal Approarch to Actual Plant Images"in "Proceedings of Fifth International Conference on Pattern Recognition and Information Processing". Vol.2. 134-138 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Shigeo Takenaka: "On determinism of set-indexed SαS-processes"in "Trends in probability and related analysis 1999". 285-290 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] M.Denker etal: "Sierpinski gasket as a Martin boundary II(The Intrinsic Metric)"Publ.RIMS, Kyoto Univ.. Vol.35. 769-794 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] H.Mizumachi etal: "Absolute continuity of a symmetric three-valued random translation of a Gaussian sequence"in "Trends in Probability and Related Analysis". 263-272 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Izumi Kubo: "Entire Functionals and generalized functionals in white noise analysis."in "Analysis on infinite-dimensional Lie groups and algebra". 207-215 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Kazuaki Taira: "Bifurcation theory for semilinear elliptic boundary value problems"Hiroshima Mathematical Journal. Vol.28, No.2. 261-308 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Kazuaki Taira: "Boundary value problems of nonlinear elastostatics"in "the Proceedings of the Conference on Generalized Analytic Functions-Theory and Applications". 183-195 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Kazuaki Taira: "Introduction to semilinear elliptic boundary value problems"Taiwanese Journal of Mathematics. Vol.2, No.2. 127-172 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Kazuaki Taira etal: "Semilinear elliptic boundary value problems in chemical reactor theory"Journal of Differential Equations. Vol.142, No.2. 434-454 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Kazuaki Taira: "Feller semigroups with boundary conditions"in "the Proceedings of the Third International Conference on Functional Analysis and Approximation Theory". Vol.52. 157-173 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Tadahisa Funaki etal: "interacting particle approximation for fractal Burgers equation"in "Stochastic Processes and Related Topics". 141-166 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Tadahisa Funaki: "Stochastic models for phase separation and evolution equations of interfaces"Sugaku. Vol.50. 68-85 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Yasunori Okabe etal: "The theory of KM_2O-Langevin equations and its applications to data analysis(III) : deterministic analysis"Nagoya Math.J.. Vol.152. 175-201 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] P.Biler etal: "Fractal Burgers equations"J.Differential Equations. Vol.148. 9-46 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Makoto Maejima etal: "Semi-selfdecomposable distributions and a new class of limit theorems"Probab.Th.Rel.Fields. 112. 13-31 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Nobuaki Obata: "Higher powers of quantum white noises in terms of integral kernel operators"Infinite Dim.Anal.Quantum Prob.. Vol.1. 533-559 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Nobuaki Obata: "A note on Hida's whiskers and complex white noise"in "Analysis on Infinite-Dimensional Lie Groups and Algebras". 321-336 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] L.Accardi etal: "A role of singletons in quantum central limit theorems"J.Korean Math.Soc.. Vol.35. 675-690 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] L.Accardi etal: "Singleton independence"Banach Center Publications. Vol.43. 9-24 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] L.Accardi etal: "Notions of independence related to the free group"Infinite Dim.Anal.Quantum Prob.. Vol.1. 201-220 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] D.M.Chung etal: "Transformations on white noise functions associated with second order differential operators of diagonal type"Nagoya Math.J.. Vol.149. 173-192 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Shigeki Aida: "Uniform Positivity Improving Property, Sobolev Inequalities and Spectral Gaps"Journal of Functional Analysis. Vol.158, No.1. 152-185 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Shigeki Aida: "Stochastic analysis on loop-spaces"Sugaku. 265-281 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Keizo Takashima: "Random walk tests of pseudorandom number generations by cellular automata"in "Proceedings of the 3-rd St.Peterburg Workshop on Simulation". 302-305 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Keizo Takashima: "Pseudo-random numbers and random walk tests"Computer Statistics. Vol.11. 35-44 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Koichiro Iwata: "Markov Property and cokernels of Local Operators"London Math.Soc.. Vol.58. 657-672 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Kazuaki Taira: "Brownian motion and index formulas for the de Rham complex"Mathematical Research, No.106, WILEY-VCH. 215 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Nobuhiro Asai: "Bell numbers, log-concavity, and log-convexity"Acta Appl.Math.. (in press). (2001)

    • Related Report
      2000 Annual Research Report
  • [Publications] Nobuhiro Asai: "General characterization theorems and intrinsic topologies in white noise analysis"Hiroshima Math,J.. (in press). (2001)

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      2000 Annual Research Report
  • [Publications] Nobuhiro Asai: "Roles of Log-concavity, log-convexity, and growth order in white noise analysis"Infinite Dimensional Analysis and Quantum Probability. 4. 1-27 (2001)

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      2000 Annual Research Report
  • [Publications] Nobuhiro Asai: "Characterization of test functions in CKS-space"Mathematical Physics and Stochastic Analysis. 68-78 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] Nobuhiro Asai: "CKS-space in terms of growth functions"Quantum Information II. 17-27 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] Nobuhiro Asai: "Characterization of Hida measures in white noise analysis"Infinite Dimensional Harmonic Analysis. 70-83 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] Nobuhiro Asai: "Feynman integrals associated with Albeverio-Hoegh-Krohn and Laplace transform potentials"Stochastics in Finite and Infinite Dimensions. 29-48 (2000)

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      2000 Annual Research Report
  • [Publications] Kazuaki Taira: "Feller semigroups and degenerate elliptic operators with Ventcel 'boundary Conditions"Studia Matematica. 144(in press). (2001)

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      2000 Annual Research Report
  • [Publications] Kazuaki Taira: "Positive solutions of diffusive logistic equations"Taiwanese Journal of Mathematics. 5. 1-24 (2001)

    • Related Report
      2000 Annual Research Report
  • [Publications] Kazuaki Taira: "Feller semigroups generated by degenerate elliptic operators II"The Proceedings of the First International Conference on Semigroups of Operators. 304-319 (2001)

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      2000 Annual Research Report
  • [Publications] Kazuaki Taira: "A degenerate Neumann problem for quasilinear elliptic equations"Tokyo Journal of Methematics. 23. 227-234 (2000)

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      2000 Annual Research Report
  • [Publications] Kazuaki Taira: "Stability in chemical reactor theory"Proceedings of the Sixth International Conference on Evolution Equations and their Applications in Physical and Life Sciences. 421-433 (2000)

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      2000 Annual Research Report
  • [Publications] Kazuaki Taira: "Feller semigroups generated by degenerate elliptic operators"Semigroup Forum. 60. 296-309 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] K.Umezu: "Positive solutions of semilinear elliptic boundary value problems in chemical reactor theory"The Proceedings of the International Society for Analysis, Applications and Computation '97 Congress. 415-422 (2000)

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      2000 Annual Research Report
  • [Publications] Tadahisa Funaki: "Fluctuations for ▽φ interface model on a wall"Stoch.Proc.Appl.. (in press). (2001)

    • Related Report
      2000 Annual Research Report
  • [Publications] Tadahisa Funaki: "Large deviations for the Ginzburg-Landau ▽φ interface model."Probab.Theory Relat.Fields. 20(in press). (2001)

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      2000 Annual Research Report
  • [Publications] Tadahisa Funaki: "Recent results on the Ginzburg-Landau ▽φ interface model"Hydrodynamic Limits and Related Topics. 71-81 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] Makoto Maejima: "Completely operator semi-selfdecomposable distribuitons"Tokyo J.Math.. 395-253 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] Makoto Maejima: "Distributions of selfsimilar and semi-selfsimilar processes with independent increments"Statist.Probab.Lett.. 47. 395-401 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] Shunsuke Ihara: "Large deviation theorems for Gaussian processes and their applications in information theory"Acta Applicande Math.. (in press). (2001)

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      2000 Annual Research Report
  • [Publications] Shunsuke Ihara: "Error exponent for coding of memoryless Gaussian sources with a fidelity criterion"IEICE Trans.Fundamentals. E83-A. 1891-1897 (2000)

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  • [Publications] Nobuaki Obata: "Quadratic quantum white noises and Levy Laplacian"Nonliner Analysis. (in press). (2001)

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      2000 Annual Research Report
  • [Publications] Y.Hashimoto: "A quantum aspect of asymptotic spectral analysis of large Hamming graphs"in "Quantum Information III". (in press). (2001)

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      2000 Annual Research Report
  • [Publications] Nobuaki Obata: "White noise operator theory : Fundamental concepts and developing applications"Proceedings of Volterra International School. (in press). (2001)

    • Related Report
      2000 Annual Research Report
  • [Publications] Nobuaki Obata: "Coherent state representation and unitarity condition in white noise calculus"J.Korean Math.Soc.. 38(in press). (2001)

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      2000 Annual Research Report
  • [Publications] Nobuaki Obata: "Coherent state representations in white noise calculus"Can.Math.Soc.Proceedings Series. (in press). (2001)

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      2000 Annual Research Report
  • [Publications] Nobuaki Obata: "Complex white noise and coherent state representation"Acta Appl.Math.. (in press). (2001)

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      2000 Annual Research Report
  • [Publications] Nobuaki Obata: "A note on coherent state representations of white noise operators"Quantum Information II. 135-147 (2000)

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      2000 Annual Research Report
  • [Publications] U.C.Ji: "Initial value problem for white noise operators and quantum stochastic processes"Infinite Dimensional Harmonic Analysis. 203-216 (2000)

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  • [Publications] D.M.Chung: "Normal-ordered white noise differential equations I : Existence of solutions as Fock space operators"Trends in Contemporary Infinite Dimensional Analysis and Quantum Probability. 115-135 (2000)

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  • [Publications] K.Oosawa: "Colour-coding reveals tandem repeats in the Escherichia coli genome"J.Mol.Biology. 298. 343-349 (2000)

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  • [Publications] Shigeki Aida: "An estimate of the gap of spectrum of Schroedinger operators which generate hyperbounded semigroups"J.Funct.Anal.. (in press). (2001)

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      2000 Annual Research Report
  • [Publications] Shigeki Aida: "On the short time asymptotics of transition probability of diffusion on path groups"in "Potential Analysis". (in press). (2001)

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      2000 Annual Research Report
  • [Publications] Shigeki Aida: "Short time asymptotics of certain infinite dimensional diffusion processes"The Proceedings of 7th Workshop on stochastic analysis and related topics, Progress in Probability. (in press). (2001)

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      2000 Annual Research Report
  • [Publications] Shigeki Aida: "On the irreducibility of the Dirichlet forms in infinite dimensional spaces"Osaka J.Math.. (in press). (2001)

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      2000 Annual Research Report
  • [Publications] Shigeki Aida: "Precise Gaussian lower bounds on heat kernels"Stochastics in Finite and Infinite Dimensions. 1-28 (2000)

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  • [Publications] Shigeki Aida: "Stochastic analysis on loop spaces"Sugaku expositions. 13. 197-214 (2000)

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  • [Publications] Shigeki Aida: "Equivalence of heat kernel measure and pinned Wiener measure on loop groups"C.R.Acad.Sci.Paris,. 331. 709-712 (2000)

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  • [Publications] Shigeki Aida: "Logarithmic derivatives of heat kernels and logarithmic Sobolev inequalities with unbounded diffusion coefficients on loop spaces"J.Funct.Anal.. 174. 430-477 (2000)

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      2000 Annual Research Report
  • [Publications] Keizo Takashima: "Random walk tests and Pseudorandom number generators"Proceedings of International Conference of Mathematical Analysis and Applications, Gyeongsang National Univ.. (in press). (2001)

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      2000 Annual Research Report
  • [Publications] Keizo Takashima: "Hybrid pseudo-random number generation"Monte Carlo Methods and Applications. 6. 49-59 (2000)

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      2000 Annual Research Report
  • [Publications] M.Denker: "Sierpinski gasket as a Martin boundary I"Potential Analysis. (in press). (2001)

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  • [Publications] A.Danilenko: "On measure theoretical analogue of the Takesaki structure theorem for type III factors"Colloquim Mathematicum. 84/85. 485-493 (2000)

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  • [Publications] Toshihiro Hamachi: "On nonsingular Chacon transformations"Illinois Journal Math.. 44. 1-16 (2000)

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  • [Publications] Toshihiro Hamachi: "Canonical subrelations of ergodic equivalence relation-subrelations"Journal of Operator Theory. 43. 3-34 (2000)

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      2000 Annual Research Report
  • [Publications] Izumi Kubo et al.: "White noise analysis associated with sequences of numbers"Infinite Dimensional Analysis,Quantum Probability and Related Topics. 2. 315-336 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] Izumi Kubo et al.: "Bell numbers,Log-concavity"Recent developments in Stochastic Analysis. (in press). (2000)

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      1999 Annual Research Report
  • [Publications] Izumi Kubo et al.: "Characterization of Hida Measures in white noise"Proc.for Japan-Germany Conference 99 at Kyoto Univ. (in press). (2000)

    • Related Report
      1999 Annual Research Report
  • [Publications] Izumi Kubo et al.: "CKS-space in terms of growth functions"Proc.of Second International Conference on Quantum Information. (in press). (2000)

    • Related Report
      1999 Annual Research Report
  • [Publications] Izumi Kubo et al.: "Characterization of test functions in CKS-space"Proceedings of International Conference on Mathmetical Physics and Stochastic Processes. (in press). (2000)

    • Related Report
      1999 Annual Research Report
  • [Publications] Kazuaki Taira et al.: "A degenerate Neumann problem for quasilinear elliptic integro-differential operators"Mathematische Zeitschrift. 230. 679-694 (1999)

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      1999 Annual Research Report
  • [Publications] Makoto Maejima et al.: "Some multivariate infinitely divisible distributions and their projections"Probab.Math.Statist.. (in press). (2000)

    • Related Report
      1999 Annual Research Report
  • [Publications] Nobuaki Obata: "A note on normal-ordered white noise equations,"Invited Lectures at the VIII-th Internat.Colloq.Differential Equations Vol.II. 109-118 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] Nobuaki Obata et al.: "Wick product of white noise operators and quantum stochastic differential equations"J.Math.Soc.Japan. 51. 613-641 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] Nobuaki Obata et al.: "A method for information analysis of sequences by two-dimensional pattern formation with coloration,"Quantum Information. 27-58 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] Nobuaki Obata et al.: "Normal-ordered white noise differential equations II: Regularity properties of solutions,"Probability Theory and Mathematical Statistics. (in press). (2000)

    • Related Report
      1999 Annual Research Report
  • [Publications] Nobuaki Obata et al.: "White noise operator theory: Fundamental concepts and developing applications"Proceedings of Volterra International School. (in press). (2000)

    • Related Report
      1999 Annual Research Report
  • [Publications] Makoto Maejima et al.: "Semi-selfsimilar processes"J.Theor.Probab.. 12. 347-383 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] Makoto Maejima et al.: "Certain probabilistics aspects on semistable laws"Ann.Inst.Statist.Math.. 51. 449-462 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] Makoto Maejima et al.: "Operator semi-selfdeconposability,(C,Q)-decomposability and related nested classes,"Tokyo J.Math.. 22. 473-509 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] Makoto Maejima et al.: "Completely operator semi-selfdecomposable distribuitons"Tokyo J.Math.. (in press). (2000)

    • Related Report
      1999 Annual Research Report
  • [Publications] Makoto Maejima et al.: "Exponents of semi-selfsimilar processes,"Yokohama Math.J. 47. 93-102 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] Makoto Maejima et al.: "Distributions of selfsimilar and semi-selfsimilar processes with independent increments"Statist.Probab.Lett.. (in press). (2000)

    • Related Report
      1999 Annual Research Report
  • [Publications] Shunsuke Ihara: "Information transmission over continuous-time Gaussian channels with feedback."Problems of Information Transmission. 35. 10-24 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] Shunsuke Ihara: "Large deviation theorems for Gaussian processes and their applications in information theory"Preprint Series in Math.Sci.,Nagoya Univ.. 1999-2. 1-30 (1999)

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      1999 Annual Research Report
  • [Publications] Tadahisa Funaki: "Free boundary problem from stochastic lattice gas model."Ann.Inst.Henri Poincare. 35. 573-603 (1999)

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      1999 Annual Research Report
  • [Publications] Tadahisa Funaki: "Singular limit for stochastic reaction-diffusion equation and generation of random interfaces."Acta Mathematica Sinica,English Series. 15. 407-438 (1999)

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      1999 Annual Research Report
  • [Publications] Tadahisa Funaki et al.: "Recent results on the Ginzburg-Landau $\nabla \phi$ interface model"Proceedings of the Workshop on "Hydrodynamic Limits" Fields Institute Communications and Monograph Series. (in press). (2000)

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      1999 Annual Research Report
  • [Publications] Tadahisa Funaki et al.: "Interacting jump Markov processes associated with nonlocal quadratic evolution problems"Probability and Mathematical Statistics. (in press). (2000)

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      1999 Annual Research Report
  • [Publications] Kazuaki Taira: "Feller Semigroups and degenerate elliptic operators I"Conferenze del Seminario di Matematica dell'Universita di Bari. 275. 1-80 (1999)

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      1999 Annual Research Report
  • [Publications] Kazuaki Taira: "Feller Semigroups and degenerate elliptic operators II"Conferenze del Seminario di Matematica dell'Universita di Bari. 276. 1-60 (1999)

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      1999 Annual Research Report
  • [Publications] Kazuaki Taira et al.: "Growing-up positive solutionsof semilinear elliptic boundary value problems"Journal of Mathematical Analysis and Applications. 238. 196-215 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] Kazuaki Taira: "Brownian motion,de Rham complex and index formulas,"Trends in Probability and Related Analysis. 159-176 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] Kazuaki Taira et al.: "Feller semigroups generated by degenerate elliptic operators,Semigroup"Semigroup Forum. 60. 1-14 (2000)

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      1999 Annual Research Report
  • [Publications] Kazuaki Taira et al.: "A degenerate Neumann problem for quasilinear elliptic equations"Tokyo Journal of Mathematics. 23(in press). (2000)

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      1999 Annual Research Report
  • [Publications] Keizo Takashima et al.: "On a Fractal Approach to Actual Plant Images,"Proceedings of Fifth International Conference on Pattern Recognition and Information Processing. 2. 134-138 (1999)

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      1999 Annual Research Report
  • [Publications] Hiroshi Sato et al.: "Absolute continuity of a symmetric three-valued random translation of a Gaussian sequence."Trends in Probability and Related Analysis. 263-372 (1999)

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      1999 Annual Research Report
  • [Publications] Hiroshi Sato et al.: "Sierpinski gaskes as a Martin boundary I(The Martin Kernels):"Potential Analysis. (in press). (2000)

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      1999 Annual Research Report
  • [Publications] Hiroshi Sato et al.: "Sierpinski gaskes as a Martin boundary II(The Intrinsic Metric):"Publ.RIMS,Kyoto Univ.. (in press). (2000)

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      1999 Annual Research Report
  • [Publications] Toshihiro Hamachi: "Suborbits and group extensions of flows"Israel J.Math. 379-380 (1999)

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  • [Publications] Yasunori Okabe: "On the theory of KM 2O-Langevin equations for stationary flows.I.Characterization theorem"J.Math.Soc.Japan. 51. 817-841 (1999)

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      1999 Annual Research Report
  • [Publications] Nobuaki Obata: "A note on symbols of Fock space operators,"Quantum Information. (in press). (2000)

    • Related Report
      1999 Annual Research Report
  • [Publications] Shigeki Aida: "On the irreducibility of Dirichlet forms on domains in infinite dimensional spaces"Osaka Journal of Mathematics. (in press). (2000)

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      1999 Annual Research Report
  • [Publications] Shigeki Aida: "Logarithmic derivatives of hear kernels and logarithmic Sobolev inequalities with unbounded diffusion coefficients"Journal of Functional Analysis. (in press). (2000)

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  • [Publications] Shigeki Aida: "Short time asymptotics of certain infinite dimensional diffusion process,"Proceedings of 7th Workshop of Stochastic anslysis and related topics. (in press). (2000)

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      1999 Annual Research Report
  • [Publications] Shigeki Aida: "On determinism of set-indexed S α S-processes:in"Trends in probability and related analysis 1999. 285-290 (1999)

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  • [Publications] Keizo Tadashima: "Random walk tests and Feedback Polynomials of m-sequences,"Proceedings of Fifth International Conference on Pattern Recognition and Information Processing. 1. 267-271 (1999)

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  • [Publications] 久保泉: "Entire functionals and generalized functionals in white noise analysis" Analysis on infinite-dimensional Lie groups and algebra. 207-215 (1998)

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      1998 Annual Research Report
  • [Publications] 久保泉: "White noise analysis associated with sequences of numbers"" Infinite Dimensional Analysis Quantum Probability and Related Topics. (in press). (1998)

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  • [Publications] 岩田耕一郎: "Markov Property and cokernels of Local Operators." London Math.Soc. (2). 56. 657-672 (1998)

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  • [Publications] 平良和昭: "Feller semigroups with boundary conditions," Proceedings of the third international conference on Functional Analysis and Approximation Theory. 52. 157-173 (1998)

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  • [Publications] 平良和昭: "Semilinear elliptic boundary value problems in chemical reactor theory" Journal of Differential Equations. 142. 434-454 (1998)

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  • [Publications] 平良和昭: "Introduction to semilinear elliptic boundary value problems" Taiwanese Journal of Mathematics. 2. 127-172 (1998)

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  • [Publications] 平良和昭: "Boundary value problems of nonlinear elastostatics" Proceedings of the Conference on Generalized Analytic Functions-Theory and Applications. 183-195 (1998)

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  • [Publications] 平良和昭: "Bifurcation theory for semilinear elliptic boundary value problems" Hiroshima Mathematical Journal. 28. 261-308 (1998)

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  • [Publications] 平良和昭: "A degenerate Neumann problem for quasilinear elliptic integro-differential operators" Mathematische Zeitschrift. (in press). (1999)

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  • [Publications] 平良和昭: "Positive solutions of semilinear elliptic boundary value problems in chemical reactor theory" Proceedings of the International Society for Analysis,Applications and Computation '97 Congress. (in press). (1999)

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  • [Publications] 平良和昭: "Feller Semigroups and degenerate elliptic operators I" Conferenze del Seminario di Matematica dell'Universit {a} di Bari. 275 (in press). (1999)

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  • [Publications] 平良和昭: "A degenerate Neumann problem for quasilinear elliptic equations" Tokyo Journal of Mathematics. 23. (2000)

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  • [Publications] 平良和昭: "Brownian motion,de Rham complex and index formulas" Proceedings of SAP'98 : Trends in Probability and Related Analysis. (in press). (1999)

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  • [Publications] 平良和昭: "Stability in chemical reactor theory" proceedings of the Sixth International Conference on Evolution Equations and their Applications in Physical and Life Sciences. (in press). (1999)

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  • [Publications] 井原俊輔: "Information transmission over continuous-time Gaussian channels with feedback" Problems of Information Transmission. (in press). (1999)

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  • [Publications] 井原俊輔: "Large deviation theorems for Gaussian processes and their applications in information theory"

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  • [Publications] P.Biler: "Fractal Burgers equations" J.Differential Equations. 148 (in press). (1998)

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  • [Publications] 舟木直久: "相分離の確率モデルと界面の運動方程式" 数学. 50. 68-85

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  • [Publications] 舟木直久: "Interacting particle approximation for fractal Burgers equation" Stochastic Processes and Related Topics,. 141-166 (1998)

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  • [Publications] 舟木直久: "Free boundary problem from stochastic lattice gas model" Annals Institut Henri Poincare. (in press). (1999)

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  • [Publications] 舟木直久: "Recent results on the Ginzburg-Landau \$nabla $phi\ interface model" Proceedings of the Workshop on "Hydrodynamic Limits",Fields Institute Communications and Monograph Series. (in press). (1999)

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  • [Publications] 舟木直久: "Singular limit for stochastic reaction-diffusion equation and generation of random interfaces" Acta Mathematica Sinica,Series (B). (in press). (1999)

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  • [Publications] D.M.Chung: "Transformations on white noise functions associated with second order differential operators of diagonal type" Nagoya Math.J.173-192 (1998)

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  • [Publications] L.Accardi: "Notions of independence related to the free group" Infinite Dim.Anal.Quantum Prob.1. 201-220

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  • [Publications] 尾畑伸明: "A note on Hida's whiskers and complex white noise" Analysis on Infinite-Dimensional Lie Groups and Algebras. 321-336 (1998)

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  • [Publications] D.M.Chung: "Higher powers of quantum white noises in terms of integral kernel operators" nfinite Dim.Anal.Quantum Prob.1. 553-559 (1998)

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  • [Publications] 尾畑伸明: "Wick product of white noise operators and quantum stochastic differential equations" J.Math.Soc.Japan. 51 (in press). (1999)

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  • [Publications] 尾畑伸明: "Normal-ordered white noise differential equations II : Regularity properties of solutions" Proc.7th Vilnius Conference,1998. (in press). (1999)

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  • [Publications] 高嶋恵三: "Random walk tests of pseudorandom number generations by cellular automata" Proceedings of the 3-rd St.Peterburg Workshop on Simulation. 302-305 (1998)

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  • [Publications] 高嶋恵三: "Random walk tests and Pseudorandom number generators" Proceedings of International Conference of Mathematical Analysis and Applications. (in press). (1999)

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  • [Publications] 会田茂樹: "ループ空間上の確率解析" 数学. 50. 265-281 (1998)

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  • [Publications] 会田茂樹: "Uniform Positivity Improving Property,Sobolev Inequalitiesand Spectral Gaps" Journal of Functional Analysis. 158. 152-185 (1998)

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  • [Publications] 会田茂樹: "Differential Calculus on Path and Loop Spaces,II Irreducibility of Dirichlet Forms on Loop Spaces" Bull.Sci.Math.122. 635-666 (1998)

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  • [Publications] 前島信: "Norming operators for operator-self-similar processes.Stochastic processes and related topics" Trends Math.,Birkhauser Boston. 287-295 (1998)

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  • [Publications] 前島信: "Moments of limits of lightly trimmed sums of random vectors in the generalized domain of normal attraction of non-Gaussian operator-stable laws" Ann.Inst.Statist.Math.49. 737-747 (1998)

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  • [Publications] 平良和昭: "Brownian motion and index formulas for the de Rham complex" Mathematical Research,No$.106,WILEY-VCH, 230 (1998)

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Published: 1998-04-01   Modified: 2016-04-21  

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