UID:
almahu_9949462254802882
Format:
1 online resource (549 p.)
ISBN:
9783110215250
,
9783110238570
Content:
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.
Note:
Frontmatter --
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Contents --
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Professor Masatoshi Fukushima - Scholar and Mentor --
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A construction of reflecting barrier Brownian motions for bounded domains --
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On boundary conditions for multi-dimensional Brownian motions with symmetric resolvent densities --
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Regular representations of Dirichlet spaces --
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Dirichlet spaces and strong Markov processes --
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On the generation of Markov processes by symmetric forms --
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Almost polar sets and ergodic theorem --
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On an LP-estimate of resolvents of Markov processes --
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Dirichlet spaces and additive functionals of finite energy --
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A note on irreducibility and ergodicity of symmetric Markov processes --
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Capacitary maximal inequalities and an ergodic theorem --
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Basic properties of Brownian motion and capacity on the Wiener space --
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A transformation of a symmetric Markov process and the Donsker-Varadhan theory --
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(r,p)-capacities for general Markov semigroups --
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On the continuity of plurisubharmonic functions along conformal diffusions --
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On Dirichlet forms for plurisubharmonic functions --
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On quasi-supports of smooth measures and closability of pre-Dirichlet forms --
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Dirichlet forms, diffusion processes and spectral dimensions for nested fractals --
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On a spectral analysis for the Sierpinski gasket --
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On a strict decomposition of additive functionals for symmetric diffusion processed --
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On a decomposition of additive functionals in the strict sense for a symmetric Markov process --
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Construction and decomposition of reflecting diffusions on Lipschitz domains with Hölder cusps --
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On semi-martingale characterizations of functions of symmetric Markov processes --
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On regular Dirichlet subspaces of H1(I) and associated linear diffusions --
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Entrance law, exit system and Lévy system of time changed processes --
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Extending Markov processes in weak duality by Poisson point processes of excursions --
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Backmatter
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Mode of access: Internet via World Wide Web.
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In English.
In:
DGBA Backlist Complete English Language 2000-2014 PART1, De Gruyter, 9783110238570
In:
DGBA Backlist Mathematics 2000-2014 (EN), De Gruyter, 9783110238471
In:
DGBA Mathematics - 2000 - 2014, De Gruyter, 9783110637205
In:
E-BOOK GESAMTPAKET / COMPLETE PACKAGE 2010, De Gruyter, 9783110233544
In:
E-BOOK PACKAGE ENGLISH LANGUAGES TITLES 2010, De Gruyter, 9783110233551
In:
E-BOOK PAKET SCIENCE TECHNOLOGY AND MEDICINE 2010, De Gruyter, 9783110233636
Additional Edition:
ISBN 9783110215243
Language:
English
DOI:
10.1515/9783110215250
URL:
https://doi.org/10.1515/9783110215250
URL:
https://www.degruyter.com/isbn/9783110215250
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