<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. |
| 電子版へのリンク | https://hdl.handle.net/2324/6911157 |
所蔵情報
| 状態 | 巻次 | 所蔵場所 | 請求記号 | 刷年 | 文庫名称 | 資料番号 | コメント | 予約・取寄 | 複写申込 | 自動書庫 |
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理系図3F 数理独自 | WOES/10/2 | 2009 |
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023212009005656 |
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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 |
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