Continuous time Markov processes : an introduction
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Bibliographic Information
Continuous time Markov processes : an introduction
(Graduate studies in mathematics, v. 113)
American Mathematical Society, c2010
Available at / 40 libraries
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
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Note
Bibliography: p. 267-268
Includes index
Description and Table of Contents
Description
Markov processes are among the most important stochastic processes for both theory and applications. This book develops the general theory of these processes, and applies this theory to various special examples. The initial chapter is devoted to the most important classical example - one dimensional Brownian motion. This, together with a chapter on continuous time Markov chains, provides the motivation for the general setup based on semigroups and generators. Chapters on stochastic calculus and probabilistic potential theory give an introduction to some of the key areas of application of Brownian motion and its relatives. A chapter on interacting particle systems treats a more recently developed class of Markov processes that have as their origin problems in physics and biology. This is a textbook for a graduate course that can follow one that covers basic probabilistic limit theorems and discrete time processes.
by "Nielsen BookData"