Masatoshi Fukushima
Subtitle: Selecta
Contributors: Oshima, Yoichi; Takeda, Masayoshi; Walter de Gruyter & Co
Publisher: Walter de Gruyter
Published: 2010
Place of publication: Berlin
Language: eng
Format: [electronic resource] :
Number of pages: 559
ISBN-13: 9783110215250
Subjects: Dirichlet forms; Markov processes
Description: 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.
Notes: Description based on print version record.
Table of contents: title: 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.; title: A note on irreducibility and ergodicity of symmetric Markov processesCapacitary 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-support.