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2000 Fiscal Year Final Research Report Summary

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)
Project Period (FY) 1998 – 2000
KeywordsStochastic Analysis / Infinite dimensional Analysis / White Noise Analysis / Informatic Analysis / Non-Linear Analysis / Quantum Analysis / Dynamical Systems / Self-Similar Processes
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

  • Research Products

    (200 results)

All Other

All Publications (200 results)

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

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

    • Description
      「研究成果報告書概要(和文)」より
  • [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)

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

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

    • Description
      「研究成果報告書概要(和文)」より
  • [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(和文)」より
  • [Publications] Tadahisa Funaki: "Fluctuations for ▽φ interface model on a wall"Stoch.Proc.Appl.. (in press). (2001)

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

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Yasunori Okabe: "Time series analysis with wavelet coefficients"Journal of Indust.Appl.Math.. 18. 129-158 (2001)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Yasunori Okabe: "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(和文)」より
  • [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(和文)」より
  • [Publications] Nobuaki Obata: "Quadratic quantum white noises and Levy Laplacian"Nonlinear Analysis. (in press). (2001)

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      「研究成果報告書概要(和文)」より
  • [Publications] Y.Hashimoto: "A quantum aspect of asymptotic spectral analysis of large Hamming graphs"Quantum Information III. (in press). (2001)

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

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

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

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      「研究成果報告書概要(和文)」より
  • [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
  • [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
  • [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(和文)」より
  • [Publications] Shigeki Aida: "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(和文)」より
  • [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)

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

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

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Nobuhiro Asai: "CKS-space in terms of growth functions"Quantum Information II. 17-27 (2000)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Nobuhiro Asai: "Characterization of Hida measures in white noise analysis"Infinite Dimensional Harmonic Analysis. 70-83 (2000)

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

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Kazuaki Taira: "A degenerate Neumann problem for quasilinear elliptic equations"Tokyo Journal of Mathematics. 23. 227-234 (2000)

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      「研究成果報告書概要(和文)」より
  • [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)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Kazuaki Taira: "Feller semigroups generated by degenerate elliptic operators"Semigroup Forum. 60. 296-309 (2000)

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      「研究成果報告書概要(和文)」より
  • [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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      「研究成果報告書概要(和文)」より
  • [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(和文)」より
  • [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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      「研究成果報告書概要(和文)」より
  • [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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      「研究成果報告書概要(和文)」より
  • [Publications] Makoto Maejima: "Completely operator semi-self decomposable distributions"Tokyo J.Math.. 239-453 (2000)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Makoto Maejima: "Distributions of selfsimilar and semi-selfsimilar processes with independent Increments"Statist.Probab.Lett.. 47. 395-401 (2000)

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

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

    • Description
      「研究成果報告書概要(和文)」より
  • [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)

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

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

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

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

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

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

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Izumi Kubo: "White noise analysis associated with sequences of numbers"Infinite Dimensional Analysis, Quantum Probability and Related Topics. 2. 315-336 (1999)

    • Description
      「研究成果報告書概要(和文)」より
  • [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(和文)」より
  • [Publications] K.Umezu: "Growing-up positive solutions of semilinear elliptic boundary value problems"Journal of Mathematical Analysis and Applications. 238. 196-215 (1999)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Kazuaki Taira: "Feller Semigroups and degenerate elliptic operators II"Conferenze del Seminario di Matematica dell'Universia di Bari. 275. 1-34 (1999)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Kazuaki Taira: "Feller Semigroups and degenerate elliptic operators I"Conferenze del Seminario di Matematica dell'Universia di Bari. 274. 1-33 (1999)

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

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] P.Biler: "Interacting particle approximation for nonlocal quadratic evolution problems"Probability and Mathematical Statistics. 19. 267-286 (1999)

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

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Tadahisa Funaki: "Free boundary problem from stochastic lattice gas model"Ann.Inst.Henri Poincare. 35. 573-603 (1999)

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      「研究成果報告書概要(和文)」より
  • [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)

    • Description
      「研究成果報告書概要(和文)」より
  • [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)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Makoto Maejima: "Some multivariate infinitely divisible distributions and their projections"Probab.Math.Statist.. 19. 421-428 (1999)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Makoto Maejima: "Operator semi-selfdecomposability, (C,Q)-decomposability and related nested classes"Tokyo J.Math. 22. 473-509 (1999)

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

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

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      「研究成果報告書概要(和文)」より
  • [Publications] Makoto Maejima: "Semi-selfsimilar processes"J.Theoret.Probab.. 12. 347-383 (1999)

    • Description
      「研究成果報告書概要(和文)」より
  • [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(和文)」より
  • [Publications] D.M.Chung: "Normal-orded 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(和文)」より
  • [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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      「研究成果報告書概要(和文)」より
  • [Publications] Nobuaki Obata: "Wick product of white noise operators and quantum stochastic differential equations"J.Math.Soc.Japan. 51. 613-641 (1999)

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

    • Description
      「研究成果報告書概要(和文)」より
  • [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)

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

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

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

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  • [Publications] L.Accardi: "Singleton independence"Banach Center Publications. 43. 9-24 (1998)

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  • [Publications] L.Accardi: "Notions of independence related to the free group"Infinite Dim.Anal.Quantum Prob.. 1. 201-220 (1998)

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      「研究成果報告書概要(和文)」より
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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

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Published: 2002-03-26  

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