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

• Superior document: Title is part of eBook package: De Gruyter DGBA Backlist Complete English Language 2000-2014 PART1
• HerausgeberIn: Jacob, Niels,; Oshima, Yoichi,; Takeda, Masayoshi,
• Place / Publishing House: Berlin ;, Boston : : De Gruyter, , [2010]; ©2010
• Year of Publication: 2010
• Language: English
• Physical Description: 1 online resource (549 p.)

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.

Table of 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