Jacob / Oshima / Takeda Masatoshi Fukushima: Selecta

1. Auflage 2010
ISBN: 978-3-11-021525-0
Verlag: De Gruyter
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 559 Seiten, Gewicht: 10 g

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.

Zielgruppe

Lecturers, Graduate Students of Mathematics; Academic Libraries

Autoren/Hrsg.

Jacob, Niels

Oshima, Yoichi

Takeda, Masayoshi

Fachgebiete

• Mathematik | Informatik Mathematik Stochastik

Inhaltsverzeichnis

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

Über Autor(innen)

Niels Jacob, University of Wales Swansea, United Kingdom; Yoichi Oshima, Kumamoto University, Japan; Masayoshi Takeda, Tohoku University, Japan.