Dirichlet forms and related topics : in honor of Masatoshi Fukushima's beiju, IWDFRT 2022, Osaka, Japan, August 22-26

Dirichlet forms and related topics : in honor of Masatoshi Fukushima's beiju, IWDFRT 2022, Osaka, Japan, August 22-26 / Zhen-Qing Chen, Masayoshi Takeda, Toshihiro Uemura, editors.

This conference proceeding contains 27 peer-reviewed invited papers from leading experts as well as young researchers all over the world in the related fields that Professor Fukushima has made important contributions to. These 27 papers cover a wide range of topics in probability theory, ranging fro...

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Bibliographic Details
Other Authors: Chen, Zhen-Qing (Editor), Takeda, Masayoshi (Editor), Uemura, Toshihiro (Editor)
Format: eBook
Language:English
Published: Singapore : Springer, [2022]
Series:Springer proceedings in mathematics & statistics ; v.394.
Subjects:
Dirichlet forms > Congresses.
Probabilities > Congresses.
Dirichlet forms
Probabilities
Formes (Matemàtica)
Probabilitats.
proceedings (reports)
Conference papers and proceedings
Festschriften
Festschriften.
Conference papers and proceedings.
Actes de congrès.
Homenatges.
Congressos.
Llibres electrònics.
Online Access:Click for online access
Table of Contents:
  • Intro
  • Preface
  • List of Masatoshi Fukushima's Publications
  • Contents
  • Markov Uniqueness and Fokker-Planck-Kolmogorov Equations
  • 1 Introduction and Framework
  • 2 The Main Idea and a Parabolic Condition for Uniqueness
  • 3 Some Uniqueness Results for FPKEs
  • 3.1 Fokker-Planck-Kolmogorov Equations
  • 3.2 Nondegenerate VMO Diffusion Coefficients
  • 3.3 Nondegenerate Locally Lipschitz Diffusion Coefficients
  • 3.4 Nondegenerate Diffusion Coefficients and the Lyapunov Function Condition
  • 3.5 Degenerate Diffusion Coefficients
  • 4 Applications to the Markov Uniqueness Problem
  • 4.1 The Framework
  • 4.2 Nondegenerate VMO Diffusion Coefficients
  • 4.3 Nondegenerate Locally Lipschitz Diffusion Coefficients
  • 4.4 Nondegenerate Diffusion Coefficients and Lyapunov Function Conditions
  • 4.5 Degenerate Diffusion Coefficients
  • References
  • A Chip-Firing and a Riemann-Roch Theorem on an Ultrametric Space
  • 1 Introduction
  • 2 Laplacian and Riemann-Roch Theorem on Ultrametric Space with Finite Vertices
  • 3 Unification of Ultrametric Space with Finite Verteces
  • 4 Riemann-Roch Theorem on Ultrametric Space with Countably Many Vertices
  • References
  • Hermitizable, Isospectral Matrices or Differential Operators
  • 1 Hermitizable, Isospectral Matrices
  • 2 Hermitizable, Isospectral Differential Operators
  • References
  • On Strongly Continuous Markovian Semigroups
  • References
  • Two-Sided Heat Kernel Estimates for Symmetric Diffusion Processes with Jumps: Recent Results
  • 1 Introduction
  • 2 Stability of Heat Kernel Estimates for Symmetric Diffusions with Jumps
  • 2.1 Two-Sided Heat Kernel Estimates
  • 2.2 Example
  • 3 Symmetric Reflected Diffusions with Jumps in Inner Uniform Domains
  • 3.1 Reflected Diffusions on Inner Uniform Domains
  • 3 Some Translation Invariant Pseudo-differential Operators
  • 4 Some Discussions on the Case upper N equals 2N=2
  • 5 Higher Order Partial Differential Equations Admitting Non-negative Solutions
  • References
  • Monotonicity Properties of Regenerative Sets and Lorden's Inequality
  • 1 Introduction
  • 2 Lorden's Inequality
  • 3 Monotone Potential Density
  • 4 Concluding Remarks
  • References
  • Doob Decomposition, Dirichlet Processes, and Entropies on Wiener Space
  • 1 Introduction
  • 2 Doob Decomposition in Continuous Time
  • 3 Entropies and Couplings on Wiener Space
  • References

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