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<図書>
Denumerable Markov chains : generating functions, boundary theory, random walks on trees

責任表示 Wolfgang Woess
シリーズ EMS textbooks in mathematics
データ種別 図書
出版情報 Zürich : European Mathematical Society , c2009
本文言語 英語
大きさ xvii, 351 p. : ill. ; 24 cm
概要 In this book, Woess (mathematics, Graz University of Technology) discusses time-homogeneous Markov chains--random processes that evolve with discrete time steps on a countable state space. The author ...ays special attention to reversible Markov chains and basic mathematical models of "population evolution." He also introduces the basic language and elements of the potential theory of transient Markov chains. This book will interest an audience ranging from master's degree students to researchers in mathematics, as well as those who want to teach the subject on a medium or advanced level. Annotation ©2011 Book News, Inc., Portland, OR (booknews.com) 続きを見る
目次 Preliminaries and basic facts
Irreducible classes
Recurrence and transience, convergence, and the ergodic theorem
Reversible Markov chains
Models of population evolution
Elements of the potential theory of transient Markov chains
The Martin boundary of transient Markov chains
Minimal harmonic functions on Euclidean lattices
Nearest neighbour random walks on trees
Solutions of all exercises.
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所蔵情報



理系図3F 数理独自 WOES/10/2 2009
023212009005656

書誌詳細

一般注記 Includes bibliographical references (p. [339]-344) and index
著者標目 *Woess, Wolfgang, 1954-
書誌ID 1001407652
ISBN 9783037190715
NCID BB00184855
巻冊次 ISBN:9783037190715
登録日 2009.12.07
更新日 2017.02.18