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A universal framework of the homogenization problem of infinite dimensional diffusions (Stochastic analysis of jump processes and related topics)

A universal framework of the homogenization problem of infinite dimensional diffusions (Stochastic analysis of jump processes and related topics)
紙デジタル記事
Sergio Albeverio, Michael Rockner, 吉田 稔<Z43-1336>数理解析研究所講究録(通号 1672) 2010.1p.39～44
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A System of Stochastic Differential Equations within NETFD--Can Quantumness be an Origin of Dissipation? (Trends in Infinite Dimensional Analysis and Quantum Probability)

A System of Stochastic Differential Equations within NETFD--Can Quantumness be an Origin of Dissipation? (Trends in Infinite Dimensional Analysis and Quantum Probability)
紙デジタル記事
有光 敏彦<Z43-1336>数理解析研究所講究録(通号 1278) 2002.8p.12～33
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Classification of Universal Notions of Stochastic Independence (Trends in Infinite Dimensional Analysis and Quantum Probability)

Classification of Universal Notions of Stochastic Independence (Trends in Infinite Dimensional Analysis and Quantum Probability)
紙デジタル記事
村木 尚文<Z43-1336>数理解析研究所講究録(通号 1278) 2002.8p.123～129
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On the Equivalence of Quantum Stochastics and A Dirac Boundary Value Problem, and an Inductive Stochastic Limit (New Development of Infinite-Dimensional Analysis and Quantum Probability)

On the Equivalence of Quantum Stochastics and A Dirac Boundary Value Problem, and an Inductive Stochastic Limit (New Development of Infinite-Dimensional Analysis and Quantum Probability)
紙デジタル記事
V.P. Belavkin<Z43-1336>数理解析研究所講究録(通号 1139) 2000.04p.54～73
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Superfluidity in the stochastic limit (Infinite Dimensional Analysis and Quantum Probability Theory)

Superfluidity in the stochastic limit (Infinite Dimensional Analysis and Quantum Probability Theory)
紙デジタル記事
L. Accardi, S.V. Kozyrev<Z43-1336>数理解析研究所講究録(通号 1227) 2001.8p.1～13
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Stochastic Evokutions As Boundary Value Problems (Infinite Dimensional Analysis and Quantum Probability Theory)

Stochastic Evokutions As Boundary Value Problems (Infinite Dimensional Analysis and Quantum Probability Theory)
紙記事
Viacheslav P. Belavkin, V.N. Kolokol'tsov<Z43-1336>数理解析研究所講究録(通号 1227) 2001.8p.83～95
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  • 件名stochastic equations quantum stochastic equations pseudo Fock space stochastic limit

Stochastic and infinite dimensional analysis

Stochastic and infinite dimensional analysis
紙図書
Christopher C. Bernido ... [et al.], editorsBirkhäuserc2016
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Stochastic analysis on infinite-dimensional stochastic differential equations related to random matrices (Mathematical aspects of quantum fields and related topics)

Stochastic analysis on infinite-dimensional stochastic differential equations related to random matrices (Mathematical aspects of quantum fields and related topics)
デジタル記事
2021-06数理解析研究所講究録2187p.11-20
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  • 要約等...sociated with random point fields with infinitely many particl......t form theory, and it can be represented by infinitedimensional stochastic differential e......ular, we treat infinite particle syste......lly appear in random matrix theory.
  • 標準番号（その他）http://hdl.handle.net/2433/265591

Stochastic analysis on infinite-dimensional stochastic differential equations related to random matrices (Mathematical aspects of quantum fields and related topics)

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デジタル記事
河本, 陽介京都大学数理解析研究所2021-06数理解析研究所講究録2187p.11-20
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Infinite-dimensional analysis : operators in Hilbert space : stochastic calculus via representations, and duality theory : hardcover

Infinite-dimensional analysis : operators in Hilbert space : stochastic calculus via representations, and duality theory : hardcover
紙図書
Palle Jorgensen, James TianWorld Scientificc2021
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  • 件名Functional analysis Hilbert space Stochastic analysis
  • 件名（識別子）Functional analysis Hilbert space Stochastic analysis
  • 一般注記Includes bibliographical references (p. 219-229) and index

Central limit theorem for finite and infinite dimensional diffusions in ergodic environments (Stochastic Analysis on Large Scale Interacting Systems)

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デジタル記事
Xu, LuResearch Institute for Mathematical Sciences, Kyoto University2016-07数理解析研究所講究録別冊B59p.57-68
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  • 件名60F05 60H15 60K37 random environment homogenization diffusion process stochastic heat equation
  • 一般注記"Stochastic Analysis on Large Scale......Hirofumi Osada and Yoshiki Otobe....... in final form and refereed.

Central limit theorem for finite and infinite dimensional diffusions in ergodic environments (Stochastic Analysis on Large Scale Interacting Systems)

Central limit theorem for finite and infinite dimensional diffusions in ergodic environments (Stochastic Analysis on Large Scale Interacting Systems)
デジタル記事
2016-07数理解析研究所講究録別冊B59p.57-68
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  • 要約等...olution to a 1-dimensional stochastic heat equation with a random, ergodic non......e viewed as an infinite dimensional diffusion in random environment,......rem for finite dimensional diffusion in random environment,......these ideas to stochastic heat equations, and explain the ma......between finite and infinite dimensional models. Due to......espect to the randomness of the e......ironment holds and the limit dist......nt functions. "Stochastic Analysis on Large Scale......Hirofumi Osada and Yoshiki Otobe....... in final form and refereed.
  • 標準番号（その他）http://hdl.handle.net/2433/243593
  • 件名60F05 60H15 60K37 random environment homogenization diffusion process stochastic heat equation

Exotic Laplacians and associated stochastic processes, Infinite Dimensional Analysis

Exotic Laplacians and associated stochastic processes, Infinite Dimensional Analysis
記事
2008Quantum Probability and Related Topics Vol.10, No.2p.1-19
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Class II semi-subgroups of the infinite dimensional rotation group and associated Lie algebra、Recent Advances in Stochastic Dynamics and Stochastic Analysis

Class II semi-subgroups of the infinite dimensional rotation group and associated Lie algebra、Recent Advances in Stochastic Dynamics and Stochastic Analysis
記事
2010Interdisciplinary Mathematical SciencesVol.8p.177-184
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A universal framework of the homogenization problem of infinite dimensional diffusions (Stochastic Analysis of Jump Processes and Related Topics)

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デジタル記事
ALBEVERIO, Sergio, ROCKNER, Michael, YOSHIDA, Minoru W.京都大学数理解析研究所2010-01数理解析研究所講究録1672p.39-44
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Infinite dimensional stochastic processes associated with the Exotic Laplacians (Non-Commutative Analysis and Micro-Macro Duality)

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デジタル記事
JI, UN CIG, SAITO, KIMIAKI京都大学数理解析研究所2008-07数理解析研究所講究録1609p.49-62
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  • 件名MSC: 60H40 White Noise Theory Exotic Laplacian Gross Laplacian Infinite Dimensional Brownian Motion

現代確率論の起源, 形成および発展(II) : 無限次元確率解析における飛田の仕事 : 「ホワイトノイズ解析と関連した話題」の起りから現在に至る展望 (数学史の研究)

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デジタル記事
阿部, 剛久Research Institute for Mathematical Sciences, Kyoto University2014-06数理解析研究所講究録別冊B50p.241-259
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  • 一般注記... in final form and refereed.
  • 並列タイトル等（連結）The Origin, Formation and Development of......Hida's Work in Infinite Dimensional Stochastic Analysis : White Noise Analysis and Related Topics (Study of the ...
  • 並列タイトル等The Origin, Formation and Development of......Hida's Work in Infinite Dimensional Stochastic Analysis : White Noise Analysis and Related Topics (Study of the ...

Stochastic analysis on finite dimensional Siegel disks, approach to the infinite dimensional Siegel disk and upper half-plane

Stochastic analysis on finite dimensional Siegel disks, approach to the infinite dimensional Siegel disk and upper half-plane
デジタル記事
2004-08Bulletin des Sciences Mathématiques128 7p.605-659
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  • 参照...y measures for infinite dimensional groups(Part 2)Unitarizing mea...

Stochastic analysis on finite dimensional Siegel disks, approach to the infinite dimensional Siegel disk and upper half-plane

Stochastic analysis on finite dimensional Siegel disks, approach to the infinite dimensional Siegel disk and upper half-plane
記事
2004Bull. Sci. Math.128p.605-659
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Superfluidity in the stochastic limit (Infinite Dimensional Analysis and Quantum Probability Theory)

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デジタル記事
Accardi, L., Kozyrev, S.V.京都大学数理解析研究所2001-08数理解析研究所講究録1227p.1-13
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