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.)
• Other 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 --; 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
• Format: Mode of access: Internet via World Wide Web.
• ISBN: 9783110215250; 9783110238570; 9783110238471; 9783110637205; 9783110233544; 9783110233551; 9783110233636
• DOI: 10.1515/9783110215250
• Access: restricted access
• Hierarchical level: Monograph
• Statement of Responsibility: ed. by Niels Jacob, Yoichi Oshima, Masayoshi Takeda.

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.