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1996 Fiscal Year Final Research Report Summary

Probability theory related to analysis and geometry

Research Project

Project/Area Number 07304064
Research Category

Grant-in-Aid for Scientific Research (A)

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

Principal Investigator

OGURA Yukio  Saga University, Faculty of Science and Engineering, Professor, 理工学部, 教授 (00037847)

Co-Investigator(Kenkyū-buntansha) FUNAKI Tadahisa  Tokyou University, Graduate School of Mathematical Science, Professor, 数理科学研究科, 教授 (60112174)
NAGAI Hideo  Osaka University, Faculty of Fundamental Engineering, Professor, 基礎工学部, 教授 (70110848)
KUNITA Hiroshi  Kyushhu University, Graduate School of Mathematics, Professor, 数理学研究科, 教授 (30022552)
WATANABE Shinzo  Kyoto University, Graduate School of Science, Professor, 理学研究科, 教授 (90025297)
IKEDA Nobuyuki  Ryukoku University, Faculty of Science and Engineering, Professor, 理工学部, 教授 (00028078)
Project Period (FY) 1995 – 1996
Keywordsasymptotics theory / genetic model / computor mathematics / stochastic control / quantum chaos / Riemannian manifold / Brownian motion / non-stationary statistical dynamics
Research Abstract

The following symposiums were held, where talks and discussions were given with fruitful results.
1."Probability Theory and Computor Mathematics" : With several researchers in the field of physics and engineering, we approached to the topics both from theoritical and applicative point of view. Among all, Sugita proposed a new method of generating pseudo-random numbers by means of dynamics, Fukuyama discussed on the convergence of the Monte Carlo method with this random numbers, and Takashima reported on the test in which the pseudo-random numbers are regarded as a stochastic proccess.
2."Topics on Stochastic Control" : In this research, it was revealed that the condition for avoiding break down in the risk sensitive stochastic control problem can be much relaxd than was known before in the case when the stochastic control processes are stable.
3."Topics on Probability Theory for Quantum Chaos 2" : Talks and discussions on mathematical aspect of quantum chaos such as quantum chaos in numbe … More r theory or quantum chaos in stochastic analysis were given.
4."Stochastic analysis and geometry" : Masahiko Kanai introduced a new approach to the rigidity of discrete group action, K.D.Elworthy discussed on the homology and homotopy vanishing theorems from the point of view of stochastic differential equations and Hajime Urakawa introduced his spectral geometry of graphs. Hironori Kumura discussed the structure of esential spectre for Riemannian manifold, and Atsushi Kasue geometric analysis of Riemannian submersions.
5."Stochastic Processes in Population Genetics" : In the discussion of this symposium, in which S.N.Ethier and Tachida participate, the mathematical formulation of the model and research subject for House-of-Cards model due to Ohta-Tanchida was given.
6."Non-equilibrium Statistical Mechanics and Probability Theory" : With the intensive lectures of H.Spohn (Ludwig-Maximilians-Univ.) and Kyoji Kawasaki (Chubu Univ.) and talks of some other probabilists, the present situations and prospect in the furture for therelation of non-equilibrium statistical mechanics and probability theory was analyzed.
7."Some topics on Diffusion Processes and Random Walks" : Talks and discussion mainly on new results on the local time of Brownian motions and survey on diffusion processes were given.
8."Stochastic Analysis and Asymptotics Theory" : Many talks and discussions on stochastic asymptotics theory were given. They covered not only the already established asymptotic expansions and large deviation priciple (Laplace method), but also the aymptotics theory on stochastic oscilatory integral, whose future development is strongly expected. Less

  • Research Products

    (142 results)

All Other

All Publications (142 results)

  • [Publications] T.Funaki: "Gibbs-Cox random fields and Burgers'turbulence" Ann.Appl.Prob.5. 461-492 (1995)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] T.Funaki: "The scaling limit for a stochastic PDE and the separation of phases" Probab.Theory Relat.Fields. 102. 221-288 (1995)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] T.Funaki: "Hydrodynamic limit for lattice gas reversible under Bernoulli measures" "Nonlinear Stochastic PDEs : Hydrodynamic Limit and Burgers' Turbulence (eds.N.Funaki and W.A.Woyczynski)",Springer. 77. 1-40 (1995)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] T.Funaki: "Equilibrium fluctuations for lattice gas" "Ito's Stochastic Calculus and Probability Theory" (eds.N.Ikeda,S.Watanabe,M.Fukushima and H.Kunita),Springer. 63-72 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] T.Funaki: "Singular limit for reaction-diffusion equation with self-similar Gaussian noise" Proceedings of Taniguchi symposium "New Trends in Stochastic Analysis" (eds.K.D.Elworthy,S.Kusuoka and I.Shigekawa),World Sci.(to appear). (1997)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] T.Funaki: "Motion by mean curvature from the Ginzburg-Landau ∇φ interface model" Commun.Math.Phys.(to appear). (1997)

    • 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. (掲載予定). (1997)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Y.Hamana: "The fluctuation results for the single point range of random walk in low dimensions" Japanese Jour.Math.21. 287-333 (1995)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Y.Hamana: "The limit theorems for the single point range of strongly transient random walks" Osaka Jour.Math.32. 869-886 (1995)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Y.Hamana: "On the multiple point range of three dimensinalrandom walks" Kobe Jour.Math.12. 95-122 (1995)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Y.Hamana: "The fluctuation result for the multiple point range of two dimensional recurrent random walks" The Annals of Probability. (to appear).

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] H.C.Chae: "Invariant nuclear space of a second quantization operator" Hirosima Math.Journ.25. 541-559 (1995)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] K.Handa: "On a stochastic PDE related to Burgers' equation with noise" "Nonlinear Stochastic PDEs : Hydrodynamic Limit and Burgers' Turbulence (eds.N.Funaki and W.A.Woyczynski)" ,IMA,Springer. 77. 147-156 (1995)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] K.Handa: "Entropy production pet site in (nonreversible) spin-flip processes" Journ.Stat.Phys.83. 555-571 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] N.Ikeda: "Levy's stochastic area formula and related problems" Proc.Symposia Pure Math.,ed.by M.C.Cranston and M.Pinsky,A.M.S.57. 281-305 (1995)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] N.Ikeda: "Van Vleck-Paili formula for Wiener integrals and Jacobi fields" Ito's Stochastic Calculus and Probability Theory,ed.by N.Ikeda,S.Watanabe,M.Fukushima,H.Kunita,Springer. 141-156 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] N.Ikeda: "Short time asymptotics for fundamental solutions for heat equations with boundary conditions" New Trends in Stochastic Analysis,Proceedings of Taniguchi International Workshop,ed.by K.D.Elworthy,S.Kusuoka and I.Shigekawa,World Scientific. (appear). (1997)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] A.Kasue: "Spectal convergence of Riemannian manifolds II" Tohoku Math.J.48. 71-120 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] A.Kasue: "Riemannian submersions and isoperimetric inequalities" Geometriae Dedicata. (to appear).

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] T.Kumagai: "Rotation invariance and characterization of a class of self-similar diffusion processes on the Sierpinski gasket" Algorithms,fractals,and dynamics (ed.Y.Takahashi),Plenum. 131-142 (1995)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] T.Kumagai: "Homogenization on nested fractals" Probab.Theory Relat.Fields. 104. 375-398 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] T.Kumagai: "Percolation on pre-Sierpinski carpets" New Trends in Stochastic Analysis-Proceeding of a Taniguchi international workshop (ed.K.D.Elworthy,S.Kusuoka and I.Shigekawa),World Scientific. (to appear).

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] B.M.Hambly: "Heat kernel estimates and homogenization for asymptotically lower dimensional processes on some nested fractals" Potentian Anal.(to appear).

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] T.Kumagai: "Short time asymptotic behavior and large deviations for Brownian motion on some affine nested fractals" Publ.Res.Inst.Math.Sci.(to appear).

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 熊谷隆: "フラクタル上の確率過程とその周辺" 数学. 49. 131-145 (1997)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] H.Kunita: "Stable limit distributions over a nilpotent Lie groups" Proc.Japan Acad.Ser.A. 71. 1-5 (1995)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] H.Kunita: "Some problems concerning Levy processes on Lie groups" Proc.Symposia Pure Math.,ed.by M.C.Cranston and M.Pinsky,A.M.S.57. 377-408 (1995)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] H.Kunita: "Stochastic flows with selfsimilar properties" Stochastic Analysis and Applications,(ed.by Davies,Truman and Elworthy),World Scientific. 286-300 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Y.Kifer: "Random positive semigroups and their infinitesimal generators" Stochastic Analysis and Applications,(ed.by Davies,Truman and Elworthy),World Scientific. 270-285 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] H.Kunita: "Stochastic differential equations with jumps and stochastic flows of diffeomorphisms" Ito's Stochastic Calculus and Probability Theory,(ed.by Ikeda,Watanabe,Fukushima,Kunita),Springer. 197-212 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Y.Hashimoto: "Short time asymptotics and an approximation for the heat kernel of a singular diffusion" Ito's Stochastic Calculus and Probability Theory,ed.by N.Ikeda,S.Watanabe,M.Fukushima and H.Kunita,Springer. 129-139 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] H.Nagai: "Bellman equations of risk sensitive control" Proceedings of the 34-th IEEE Conference on Decision and Control. 1048-1051 (1995)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] A.Bensoussan: "Some results on risk-sensitive control with full observation" Proceedings of the 34-th IEEE Conference on Decision and Control. 1657-1661 (1995)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] H.Nagai: "Bellman equations of risk sensitive control" SIAM Journal control and Optimization. 34. 74-101 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] H.Ishii: "A singular limit on risk sensitive control and semi-classical analysis" Proceedings of the Japan-Russian Symposium on Probability Theory and Mathematical Statistics,World Scientific. 164-173 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] A.Bensousan: "Min-max characterization of a small noise limit on risk sensitive control" SIAM J.Control and Optimization. 35(to appear). (1997)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] A.Bensousan: "Some results on risk-sensitive with full observation" Apll.Math.Optimization.(to appear).

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Y.Ogura: "A probabilistic scheme for collapse of metrics" J.Math.Kyoto Univ.36. 73-92 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] S.Li: "A convergence theorem of fuzzy martingales" Proceedings of FUZZ-IEEE '96 Internatinal Conference on Fuzzy Systems. 290-294 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] S.Li: "The space of fuzzy random variables" Methodologies for the Conception,Design,and Application of Intelligent Systems (eds.T.Yamakawa and G.Matsumoto),World Scientific. 596-599 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] S.Li: "Fuzzy random variables,conditional expectations and fuzzy valued martingales" Jour.Fuzzy Mathematics. 4. 905-927 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] S.Li: "Convergence of set valued and fuzzy valued martingales" Fuzzy Sets and Systems. (to appear).

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] N.Saitoh: "An analysis of a family of rational maps containing integrable and nonintegrable difference analogue of the Logistic equation" Journal Physics A. (to appear).

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 清水邦夫: "修正ベータ・2項分布とその雑誌購買度数データへの応用" 応用統計学. 25. 49-60 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] M.Minami: "Estimation for a common intraclass correlation in bivariate normal distributions with missing observations" Amer.Jour.Math.Management Sciences. 16(to appear). (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] K.Shimizu: "The multivariate inverse trinomial distribution as a Lagrangian probability model" Comm.Statistics : Theory Methods. 26(to appear). (1997)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] S.Taniguchi: "Holomorphic functions on balls in an almost complex abstract Wiener space" J.Math.Soc.Japan. 47. 656-670 (1995)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] P.Malliavin: "Extension holomorphe des fonctionnelles analytiques definies sur un espace de Wiener reel,formule de Cauchy,phase stationarie" C.R.Acad.Sci.Paris. 322. 261-265 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] S.Taniguchi: "On Ricci curvatures of hypersurfaces in abstract Wiener spaces" J.Funct.Anal.136. 226-244 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] S.Taniguchi: "On almost complex structures on abstract Wiener space" Osaka J.Math.33. 189-206 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] S.Taniguchi: "Almost complex structures on path groups" Stochastic Analysis and Applications,Proc.Fifth Gregynog Symp.(ed.by I.M.Davis,A.Truman,and K.D.Elworthy). 419-428 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] M.Fukushima: "On reflecting diffusions on Lipschitz domains with cusps-analytic construction and Skorohod representation" Potential Analysis. 4. 377-408 (1995)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] M.Tomisaki: "Construction of reflecting diffusion processes on singular domains" Probability Theory and Mathematical Statistics,Proceedings of the Seventh Japan-Russian Symposium (eds.S.Watanabe,M.Fukushima,Yu.V.Prohorov,A.N.Shiryaev),World Scientific. 496-505 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] M.Fukushima: "On decomposition of additive functionals of reflecting Brownian motions" Ito's Stochastic Calculus and Probability Theorey (eds.N.Ikeda,S.Watanabe,M.Fukushima,H.Kunita),Springer. 51-61 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] M.Fukushima: "Construction and decomposition of reflecting diffusions on Lipschitz domains with Holder cusps" Probab.Theory Relat.Fields. 106. 521-557 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] S.Watanabe: "Generalized arc-sine laws for one-dimensional diffusion processes and random walks" Proc.Symp.Pure Math.(eds.M.C.Cranston and M.Pinsky),AMS. 57. 157-172 (1995)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] J.Ren: "A convergence theorem for probability densities and conditional expectations of Wiener functionals" Dirichlet Forms and Stochastic Processes,Proc.Intern.Conf.Beijing,Walter de Gruyter. 335-344 (1995)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Y-Z.Hu: "Donsker's delta functions and approximation of heat kernels by time discretization method" J.Math.Kyoto Univ.36. 499-518 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] S.Watanabe: "Levy's stochastic area formula and Brownian motion on compact Lie groups" Ito's Stochastic Calculus and Probability Theory,Springer-Verlag,Tokyo. 401-411 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] T.Funaki et al.(eds.): "Nonlinear Stochastic PDEs : Hydrodynamic Limit and Burgers' Turbulence,IMA volumes in Mathematics and its Applications,77" Univ.Minnesota,Springer, 330 (1995)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 舟木直久: "確率微分方程式(岩波講座「現代数学の基礎」)" 岩波書店, 203 (1997)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] N.Ikeda et al.(eds.): "Ito's Stochastic Calculus and Probability Theory" Springer, 422 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 大矢雅則他編: "数理情報科学事典" 朝倉書店, 1164 (1995)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Y.Takahashi (ed.): "Algorithms,fractals,and dynamics" Plenum, 227 (1995)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 高橋陽一郎: "微分と積分2" 岩波書店, 191 (1995)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 高橋陽一郎: "力学と微分方程式" 岩波書店, 208 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 高橋陽一郎: "実関数とFourier解析" 岩波書店, 191 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 青木和彦: "現代数学の流れ2" 岩波書店, 184 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 高橋陽一郎(監訳): "フーリエ解析大全(上)" 朝倉書店, 320 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 高橋陽一郎(監訳): "フーリエ解析大全(下)" 朝倉書店, 350 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] S.Watanabe et al.(eds.): "World Scientific" Proceedings of the Seventh Japan-Russian Symposium, 515 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] T.Funaki, D.Surgailis, W.A.Woyczynski: "Gibbs-Cox random fields and Burgers' turbulencs, Ann" Appl.Prob.5. 461-492 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] T.Funaki: "The scaling limit for a stochastic PDE and the separation of phases, Probab. Theory Relat." Fields. 102. 221-288 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] T.Funaki, K.Uchiyama, H.T.Yau: "Hydrodynamic limit for lattice gas reversible under Bernoulli measures, in "Nonlinear Stochastic PDEs : Hydrodynamic limit and Burgers' Turbulence (eds.N.Funaki and W.A.Woyczynski)"" IMA volume. 77.Springer. 1-40 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] T.Funaki: "Equilibrium fluctuations for lattice gas, in "Ito's Stochastic Calculus and Probability Theory" (eds.N.Ikeda, S.Watanabe, M.Fukushima and H.Kunita)" Springer. 63-72 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] T.Funaki: "Singular limit for reaction-diffusion equation with self-similar Gaussian noise, to appear in Proceedings of Taniguchi symposium "New Trends in Stochastic Analysis" (eds.K.D.Elworthy, S.Kusuoka and I.Shigekawa)" World Sci. (1997)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] T.Funaki and H.Spohn: "Motion by mean curvature from the Ginzburg-Landau *phi interface model, to appear in Commun" Math.Phys. (1997)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] T.Funaki: "Stochatics models of phase separation and motion equations of interface [Japanese]" Sugaku. to appear. (1997)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Y.Hamana: "The fluctuation results for the single point range of random walk in low dimensions" Japanese Jour.Math. 21. 287-333 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Y.Hamana: "The limit theorems for the single point range of strongly transient random walks" Osaka Jour.Math. 32. 869-886 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Y.Hamana: "On the multiple point range of three dimensional random walks" Kobe Jour.Math.12. 95-122 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Y.Hamana: "The fluctuation result for the multiple point range of two dimensional recurrent random walks to appear in The Annals of Probability."

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] H.C.Chae, K.Handa: "I.Mitoma and Y.Okazaki" Invariant nuclear space of a second quantization operator, Hirosima Math.Journ.25. 541-559 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] K.Handa: "On a stochastic PDE related to Burgers' equation with noise, in "Nonlinear Stochastic PDEs : Hydrodynamic Limit and Burgers' Turbulence (eds.N.Funaki and W.A.Woyczynski)"" IMA volume. 77, (Springer). 147-156 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] K.Handa: "Entropy production per site in (nonreversible) spin-flip processes" Journ.Stat.Phys., 83. 555-571 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] N.Ikeda: "S.Kusuoka and S.Manabe, Levy's stochastic area formula and related problems" in Proc.Symposia Pure Math., 57, ed.by M.C.Cranston and M.Pinsky, A.M.S. 281-305 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] N.Ikeda and S.Manabe: "Van Vleck-Paili formula for Wiener integrals and Jacobi fields, in Ito's Stochastic Calculus and Probability Theory" Springer, ed.by N.Ikeda, S.Watanabe, M.Fukushima, H.Kunita. 141-156 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] N.Ikeda and S.Kusuoka: "Short time asymptotics for fundamental solutions for heat equations with boundary conditions, in New Trends in Stochastic Analysis" Proceedings of Taniguchi International Workshop, ed.by K.D.Elworthy, S.Kusuoka and I.Shigekawa, World Scientific. to appear. (1997)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Y.Ogura and S.Taniguchi: "A probabilistic scheme for collapse of metrics" J.Math.Kyoto Univ.36. 73-92 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] S.Li and Y.Ogura: "A convergence theorem of fuzzy martingales" in Proceedings of FUZZ-IEEE '96 Internatinal Conference on Fuzzy Systems. 290-294 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] S.Li and Y.Ogura: "The space of fuzzy random variables, (eds.) T.Yamakawa and G.Matsumoto, Methodologies for the Conception, Design, and Application of intelligent Systems" World Scientific. 596-599 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] S.Li and Y.Ogura: "Fuzzy random variables, conditional expectations and Fuzzy valued martingales" Jour.Fuzzy Mathematics. 4. 905-927 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] S.Li and Y.Ogura: "Convergence of set valued and Fuzzy valued martingales" Fuzzy Sets and Systems.(to appear).

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] N.Saitoh, S.Saito, A.Shimizu and K.Yoshida: "An analysis of a family of rational maps containing integrable and nonintegrable difference analogue of the Logistic equation" Journal Physics A.(to appear).

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] K.Shimizu and T.Moriyama: "Modified Beta-Binomial distribution and its application to journal perchse frequency data [Japanese]" Ouyou Toukeigaku. 25 (2). 49-60 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] M.Minami and K.Shimizu: "Estimation for a common intraclass correlation in bivariate normal distributions with missing observations" Amer.Jour.Math.Management Sciences. 16 (to appear). (1996)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] K.Shimizu, N.Nishii and M.Minami: "The multivariate inverse trinomial distribution as a Lagrangian probability model" Comm.Statistics : Theory Methods. 26 (to appear). (1997)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] S.Taniguchi: "Holomorphic functions on balls in an almost complex abstract Wiener space" J.Math.Soc.Japan. 47. 656-670 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] P.Malliavin and S.Taniguchi: "Extension holomorphe des fonctionnelles analytiques definies sur un espace de Wiener reel, formule de Cauchy, phase stationarie" C.R.Acad.Sci.Paris. 322. 261-265 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] S.Taniguchi: "On Ricci curvatures of hypersurfaces in abstract Wiener spaces" J.Funct.Anal. 136. 226-244 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] S.Taniguchi: "On almost complex structures on abstract Wiener spaces" Osaka J.Math. 33. 189-206 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] S.Taniguchi: "Almost complex structures on path groups, in Stochastic Analysis and Applications" Proc.Fifth Gregynog Symp. (ed.by I.M.Davis, A.Truman, and K.D.Elworthy). 419-428 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] M.Fukushima and M.Tomisaki: "On reflecting diffusions on Lipschitz domains with cusps-analytic construction and Skorohod representation" Potential Analysis. 4. 377-408 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] M.Tomisaki: "Construction of reflecting diffusion processes on singular domains, in Probability Theory and Mathematical Statistics" Proceedings of the Seventh Japan-Russian Symposium (eds.S.Watanabe, M.Fukushima, Yu.V.Prohorov, A.N.Shiryaev), World Scientific. 496-505 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] M.Fukushima and M.Tomisaki: "On decomposition of additive functionals of reflecting Brownian motions" in Ito's Stochastic Calculus and Probability Theorey (eds.N.Ikeda, S.Watanabe, M.Fukushima, H.Kunita). Springer. 51-61 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] M.Fukushima and M.Tomisaki: "Construction and decomposition of reflecting diffusions on Lipschitz domains with Holder cusps" Probab.Theory Relat.Fields. 106. 521-557 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] S.Watanabe: "Generalized arc-sine laws for one-dimensional diffusion processes and random walks" Proc.Symp.Pure Math, 57 (eds.M.C.Cranston and M.Pinsky) AMS. 157-172 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] A.Kasue and H.Kumura: "Spectral convergence of Riemannian manifolds II" Tohoku Math.J.48. 71-120 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] A.Kasue and A.Mendori: "Riemannian submersions and isoperimetric inequalities" (to appear). Geometriae Dedicata.

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] T.Kumagai: "Rotation invariance and characterization of a class of self-similar diffusion processes on the Sierpinski gasket" In : Y.Takahashi (ed.) Algorithms, fractals, and dynamics. Plenum. 131-142 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] T.Kumagai and S.Kusuoka: "Homogenization on nested fractals" Probab.Theory Relat.Fields. 104. 375-398 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] T.Kumagai: "Percolation on pre-Sierpinski carpets" In K.D.Elworthy et al (eds.) New Trends in Stochastic Analysis-Proceeding of a Taniguchi international workshop, World Scientific. (in press.).

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] B.M.Hambly and T.Kumagai: "Heat kernel estimates and homogenization for asymptotically lower dimensional processes on some nested fractals" Potentian Anal.(to appear).

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] T.Kumagai: "Short time asymptotic behavior and large deviations for Brownian motion on some affine nested fractals" Publ.Res.Inst.Math.Sci.(to appear).

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] T.Kumagai: "Stochastic processes on fractrals and related topics [Japanese]" Sugaku. 49 (in press.). 131-145 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] H.Kunita: "Stable limit distributions over a nilpotent Lie groups" Proc.Japan Acad.Ser.A. 71. 1-5 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] H.Kunita: "Some problems concerning Levy processes on Lie groups" Proc.(ed.by M.C.Cranston and M.Pinsky, A.N.S.) Symposia Pure Math.57. 377-408 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] H.Kunita: "Stochastic flows with selfsimilar properties, Stochastic Analysis and Applications, (ed.by Davies, Truman and Elworthy)" World Scientific. 286-300 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Y.Kifer and H.Kunita: "Random positive semigroups and their infinitesimal generators, Stochastic Analysis and Applications, (ed.by Davies, Truman and Elworthy)" World Scientific. 270-285 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] H.Kunita: "Stochastic differential equations with jumps and stochastic flows of diffeomorphisms" Ito's Stochastic Calculus and Probability Theory, (ed.by Ikeda, Watanabe, Fukushima, Kunita). Springer. 197-212 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Y.Hashimoto, S.Manabe Y.Ogura: "Short time asymptotics and an approximation for the heat kernel of a singular diffusion" in Ito's Stochastic Calculus and Probability Theory, ed.by N.Ikeda, S.Watanabe, M.Fukushima and H.Kunita. Springer. 129-139 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] H.Nagai: "Bellman rquations of risk sensitive control" Proceedings of the 34-th IEEE Conference on Decision and Control. 1048-1051 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] A.Bensoussan, J.Frehse and H.Nagai: "Some results on risk-sensitive control with full observation" Proceedings of the 34-th IEEE Conference on Decision and Control. 1657-1661 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] H.Nagai: "Bellman equations of risk sensitive control, SIAM Journal control and Optimization" 34. 74-101 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] H.Ishii, H.Nagai and F,Teramoto: "A singular limit on risk sensitive control and semi-classical analysis" Proceedings of the Japan-Russian Symposium on Probability Theory and Mathematical Statistics, World Scientific. 164-173 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] A.Bensousan and H.Nagai: "Min-max characterization of a small noise limit on risk sensitive control" SIAM J.Control and Optimization. 35 (to apperar). (1997)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] A.Bensousan, J.Frehse and H.Nagai: "Some results on risk-sensitive with full observation" Apll.Math.Optimization.(to appear).

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] J.Ren and S.Watanabe: "A convergence theorem for probability densities and conditional expectations of Wiener functionals, in Dirichlet Forms and Stochastic Processes" Proc : Intern.Conf.Beijing, Walter de Gruyter. 335-344 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Y-Z.Hu and S.Watanabe: "Donsker's delta functions and approximation of heat kernels by time discretization method" J.Math.Kyoto Univ. 36. 499-518 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] S.Watanabe: "Levy's stochastic area formula and Brownian motion on compact Lie groups" Ito's Stochastic Calculus and Probability Theory (eds.N.Ikeda, S.Watanabe, M.Fukushima, H.Kunita), Springer-Verlag Tokyo. 401-411 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] T.Funaki and W.A.Woyczynski (eds.): Nonlinear Stochastic PDEs : Hydrodynamic Limit and Burgers' Turbulence.IMA 'volumes in Mathematics and its Applications, 77. Univ, Minnesota (Springer) New York Berlin Heidelberg, 330 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] T.Funaki: Stochastic Differential Equations, Iwanami-Kouza "Foundation of Modern Mathematics". Iwanami-syoten, 203 [Japanese] (1997)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] N.Ikeda, S.Watanabe, M.Fukushima and H.Kunita (eds.): Ito's Stochastic Calculus and Probability Theory. Springer, 422 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] K.Shimizu et al., ed.by M.Oya et al.: Encycropedia of Information Science. Asakura-syoten [Japanese], 1164 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Y.Takahashi (ed.): Algorithms, fractals, and dynamics. Plenum, 227 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Y.Takahashi: Calculus 2. Iwanami-[Japanese] syoten, 191 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Y.Takahashi: Mechnics and Differential Equations. Iwanami-[Japanese] syoten, 208 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Y.Takahashi: Real Functions and Fourier analysis. Iwanami-[Japanese] syoten, 191 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] K.Aomoto, K.Kato, K.Ueno, Y.Takahashi M.Jimbo and K.Namba: Stream of Modern Mathematics 2 (Chap.4 "Infinite Dimension"). Iwanami-[Japanese] syoten, 184 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Y.Takahashi (Translation): Korner : Fourier Analysis (1). Asakura-[Japanese] syoten, 320 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Y.Takahashi (Translation): Korner : Fourier Analysis (2). Asakura-[Japanese] syoten, 350 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] S.Watanabe, M.Fukushima, Yu.V.Prohorov and A.N.Shiryaev (eds.): Proceedings of the Seventh Japan-Russian Symposium. World Scientific, 515 (1996)

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

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Published: 1999-03-09  

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