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<図書>
Continuous time Markov processes : an introduction

責任表示 Thomas M. Liggett
シリーズ Graduate studies in mathematics ; v. 113
データ種別 図書
出版情報 Providence, R.I. : American Mathematical Society , c2010
本文言語 英語
大きさ xii, 271 p. ; 27 cm
概要 "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 specia... 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."--Publisher's description.続きを見る
目次 One-dimensional Brownian motion
Continuous time Markov chains
Feller processes
Interacting particle systems
Stochastic integration
Multi-dimensional Brownian motion and the Dirichlet problem.

所蔵情報



理系図3F 数理独自 LIGG/20/3 2010
033212010000457

書誌詳細

一般注記 Includes bibliographical references (p. 267-268) and index
著者標目 *Liggett, Thomas M. (Thomas Milton), 1944-
件 名 LCSH:Markov processes
LCSH:Stochastic integrals
分 類 LCC:QA274.7
DC22:519.2/33
書誌ID 1001419796
ISBN 9780821849491
NCID BB01523537
巻冊次 ISBN:9780821849491
登録日 2010.04.30
更新日 2010.04.30