Masatoshi Fukushima: Selecta

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Niels Jacob, Yoichi Oshima, Masayoshi Takeda
Walter de Gruyter, 2010 - Mathematics - 549 pages
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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.
  

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Contents

R5 3
36
Regular representations of Dirichlet spaces R8
72
Dirichlet spaces and strong Markov processes R9
91
On a strict decomposition of additive functionals for symmetric diffusion
354
Construction and decomposition of reflecting diffusions on Lipschitz domains
374
On semimartingale characterizations of functions of symmetric Markov
411
On regular Dirichlet subspaces of HlI and associated linear diffusions
443
Entrance law exit system and Levy system of time changed processes
458
Extending Markov processes in weak duality by Poisson point processes
497
Acknowledgments
541
A transformation of a symmetric Markov process and the DonskerVaradhan
545
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About the author (2010)

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

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