Topics on diffusion semigroups on a path space with Gibbs measures, (ギブス測度に関する経路空間上の拡散半群の話題) (original) (raw)

Topics on diffusion semigroups on a path space with Gibbs measures : Dedicated to Professor Hideo Tamura on the occasion of his 60th birthday (Proceedings of RIMS Workshop on Stochastic Analysis and Applications)

Hiroshi Kawabi

2008

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Essential self-adjointness of Dirichlet operators on a path space with Gibbs measures via an SPDE approach

Hiroshi Kawabi

Journal of Functional Analysis, 2007

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Strong uniqueness for both Dirichlet operators and stochastic dynamics to Gibbs measures on a path space with exponential interactions

Hiroshi Kawabi

Journal of Functional Analysis, 2012

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A class of infinite dimensional stochastic processes with unbounded diffusion

Department of Mathematics DBCY

Stochastics, 2015

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On uniqueness of invariant measures for finite- and infinite-dimensional diffusions

Vladimir Bogachev

Communications on Pure and Applied Mathematics, 1999

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Derivative and divergence formulae for diffusion semigroups

Anton Thalmaier

Annals of Probability, 2019

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Convergence of Symmetric Diffusions on Wiener Spaces

Tusheng Zhang

Acta Mathematicae Applicatae Sinica, English Series, 2004

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From Laplacian Transport to Dirichlet-to-Neumann (Gibbs) Semigroups

Valentin Zagrebnov

2008

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Small time asymptotics of diffusion processes

Adam Sikora

Journal of Evolution Equations, 2007

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Weak convergence of symmetric diffusion processes

Toshihiro UEMURA

Probability Theory and Related Fields, 1997

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The Dirichlet Problem for Stochastic Degenerate Parabolic-Hyperbolic Equations

Hermano Frid

Communications in Mathematical Analysis and Applications, 2022

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Absolute continuity of symmetric diffusions

P.J. Fitzsimmons

The Annals of Probability, 1997

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The differentiation of hypoelliptic diffusion semigroups

Anton Thalmaier

Illinois journal of mathematics

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Phi-entropy inequalities for diffusion semigroups

Ivan Gentil

Journal de Mathématiques Pures et Appliquées, 2010

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The Littlewood-Paley-Stein inequality for diffusion processes on general metric spaces

Hiroshi Kawabi

Journal of Mathematical Sciences-the University of Tokyo, 2006

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Introduction to the geometry of stochastic differential equations and diffusion semigroups SNSB Bucharest lectures

Fabrice Baudoin

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Trace norm estimates for products of integral operators and diffusion semigroups

Jan A Van Casteren

Integral Equations and Operator Theory, 1995

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Two-parameter semigroups, evolutions and their applications to Markov and diffusion fields on the plane

Y. Mishura

Journal of Applied Mathematics and Stochastic Analysis, 1996

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L 1 -convergence and hypercontractivity of diffusion semigroups on manifolds

Feng-yu Wang

Studia Mathematica, 2004

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On Regularity of Transition Probabilities and Invariant Measures of Singular Diffusions Under Minimal Conditions

Vladimir Bogachev

Communications in Partial Differential Equations, 2001

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A Gibbs variational principle in space-time for infinite-dimensional diffusions

Hans Zessin

Probability Theory and Related Fields, 2002

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Brownian motion and the heat semigroup on the path space of a compact Lie group

Terry Lohrenz

Pacific Journal of Mathematics, 1993

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Exponential integrability and exit times of diffusions on sub-Riemannian and metric measure spaces

Anton Thalmaier

Bernoulli

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Markov Processes and Diffusion Equations on Unbounded Intervals

I. Carbone, Francesco Altomare

TAIWANESE JOURNAL OF MATHEMATICS

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Dirichlet regularity and degenerate diffusion

Wolfgang Arendt

Transactions of the American Mathematical Society, 2010

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Regularity estimates for diffusion semigroups on weighted Sobolev spaces

Yến Vương

arXiv (Cornell University), 2022

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Drift Transformations of Symmetric Diffusions, and Duality

P.J. Fitzsimmons

Infinite Dimensional Analysis, Quantum Probability and Related Topics, 2007

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On Interacting Systems of Hilbert-Space-Valued Diffusions

Rajeeva Karandikar

Applied Mathematics and Optimization, 1998

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Itô maps and analysis on path spaces

K.d. Elworthy

Mathematische Zeitschrift, 2007

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Space-time processes, parabolic functions and one-dimensional diffusions

Tze Lai

Transactions of the American Mathematical Society, 1973

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Functional inequalities and an application for parabolic stochastic partial differential equations containing rotation

Hiroshi Kawabi

Bulletin des Sciences Mathématiques, 2004

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The dirichlet form of a gradient-type drift transformation of a symmetric diffusion

P.J. Fitzsimmons

Acta Mathematica Sinica, English Series, 2008

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Well-posedness of the martingale problem for some degenerate diffusion processes occurring in dynamics of populations

Sandra Cerrai

Bulletin des Sciences Mathématiques, 2004

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On the Dirichlet semigroup for Ornstein–Uhlenbeck operators in subsets of Hilbert spaces

Giuseppe Da Prato, Alessandra Lunardi

Journal of Functional Analysis, 2010

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