Masatoshi Fukushima: Selecta / Niels Jacob, Yoichi Oshima, Masayoshi Takeda.

Format:

Book

Author/Creator:

Fukushima, Masatoshi, 1935-

Contributor:

Jacob, Niels, editor.

Ōshima, Yoichi, editor.

Takeda, Masayoshi, editor.

Language:

English

Subjects (All):

Markov processes.

Dirichlet forms.

Physical Description:

1 online resource (559 p.)

Place of Publication:

Berlin ; Boston : De Gruyter, [2010]

Language Note:

English

Summary:

Masatoshi Fukushima is one of the most influential probabilists of our times. His fundamental work on Dirichlet forms and Markov processes made Hilbert space methods a tool in stochastic analysis and by this he opened the way to several new developments. His impact on a new generation of probabilists can hardly be overstated. These Selecta collect 25 of Fukushima's seminal articles published between 1967 and 2007.

Contents:

Frontmatter

Contents

Professor Masatoshi Fukushima - Scholar and Mentor

A construction of reflecting barrier Brownian motions for bounded domains

On boundary conditions for multi-dimensional Brownian motions with symmetric resolvent densities

Regular representations of Dirichlet spaces

Dirichlet spaces and strong Markov processes

On the generation of Markov processes by symmetric forms

Almost polar sets and ergodic theorem

On an LP-estimate of resolvents of Markov processes

Dirichlet spaces and additive functionals of finite energy

A note on irreducibility and ergodicity of symmetric Markov processes

Capacitary maximal inequalities and an ergodic theorem

Basic properties of Brownian motion and capacity on the Wiener space

A transformation of a symmetric Markov process and the Donsker-Varadhan theory

(r,p)-capacities for general Markov semigroups

On the continuity of plurisubharmonic functions along conformal diffusions

On Dirichlet forms for plurisubharmonic functions

On quasi-supports of smooth measures and closability of pre-Dirichlet forms

Dirichlet forms, diffusion processes and spectral dimensions for nested fractals

On a spectral analysis for the Sierpinski gasket

On a strict decomposition of additive functionals for symmetric diffusion processed

On a decomposition of additive functionals in the strict sense for a symmetric Markov process

Construction and decomposition of reflecting diffusions on Lipschitz domains with Hölder cusps

On semi-martingale characterizations of functions of symmetric Markov processes

On regular Dirichlet subspaces of H1(I) and associated linear diffusions

Entrance law, exit system and Lévy system of time changed processes

Extending Markov processes in weak duality by Poisson point processes of excursions

Backmatter

Notes:

Description based upon print version of record.

Description based on online resource; title from PDF title page (publisher's Web site, viewed 08. Jul 2019)

ISBN:

9786612715952

9781282715950

128271595X

9783110215250

311021525X

OCLC:

630542990