Screen LibraryMasatoshi fukushima : selecta /
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 probabilist...
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| Corporate Authors: | |
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| Group Author: | ; ; |
| Published: |
De Gruyter,
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| Publisher Address: | Berlin ;Boston : |
| Publication Dates: |
[2010] ©2010 |
| Literature type: | eBook |
| Language: | English |
| Subjects: | |
| Online Access: |
http://dx.doi.org/10.1515/9783110215250 http://www.degruyter.com/doc/cover/9783110215250.jpg |
| 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. |
| Carrier Form: | 1 online resource (559pages) |
| ISBN: | 9783110215250 |
| Index Number: | QA274 |
| CLC: | O211.6 |
| 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 H lder 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 L vy system of time changed processes -- Extending Markov processes in weak duality by Poisson point processes of excursions -- Backmatter |