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Semi-Dirichlet Forms and Markov Processes
ISBN-13:
9783110302066
Veröffentl:
2013
Einband:
Web PDF
Seiten:
294
Autor:
Yoichi Oshima
Serie:
48, De Gruyter Studies in Mathematics
eBook Typ:
PDF
eBook Format:
EPUB
Kopierschutz:
0 - No protection
Sprache:
Englisch
Beschreibung:
This book deals with analytic treatments of Markov processes. Symmetric Dirichlet forms and their associated Markov processes are important and powerful tools in the theory of Markov processes and their applications. The theory is well studied and used in various fields. In this monograph, we intend to generalize the theory to non-symmetric and time dependent semi-Dirichlet forms. By this generalization, we can cover the wide class of Markov processes and analytic theory which do not possess the dual Markov processes. In particular, under the semi-Dirichlet form setting, the stochastic calculus is not well established yet. In this monograph, we intend to give an introduction to such calculus. Furthermore, basic examples different from the symmetric cases are given. The text is written for graduate students, but also researchers.
Chapter 1 Dirichlet forms 1.1 Semi-Dirichlet forms and resolvents 1.2 Closability and regular Dirichlet forms 1.3 Transience and recurrence of Dirichlet forms 1.4 An auxiliary bilinear forms 1.5 Examples
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