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<図書>
Large deviations for stochastic processes

責任表示 Jin Feng, Thomas G. Kurtz
シリーズ Mathematical surveys and monographs ; v. 131
データ種別 図書
出版情報 Providence, R.I. : American Mathematical Society , c2006
本文言語 英語
大きさ xii, 410 p. ; 26 cm
概要 Focusing on just one of the many approaches to large deviations for Markov processes, this describes the theory of large deviations based on the large deviation analog of the compactness theory for we...k convergence and by the generality if the semigroup methods for Markov processes, eventually developing an approach for proving large deviations in the context of metric space valued Markov processes using a convergence of generators in the same spirit as weak convergence. This approach complements the usual method that relies on asymptotic estimates obtained through Girsanov transformations. This builds a case from the general theory of large deviations to large deviations for Markox processes and semigroup convergence, then moves to examples of large deviations and the comparison principle, with appendices including those on operators and convergence in function space, spectral properties for discrete and continuous Laplacians, and results from mass transport theory. Annotation ©2007 Book News, Inc., Portland, OR (booknews.com) 続きを見る
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所蔵情報



理系図3F 数理独自 FENG/5/1 2006
023212006005843

書誌詳細

一般注記 Includes bibliographical references (p. 403-408) and index
著者標目 *Feng, Jin, 1969-
Kurtz, Thomas G., 1941-
件 名 LCSH:Large deviations
LCSH:Semigroups of operators
LCSH:Markov processes
LCSH:Stochastic processes
LCSH:Viscosity solutions
分 類 LCC:QA273.67
DC22:519.2
書誌ID 1001241532
ISBN 0821841459
NCID BA79203559
巻冊次 ISBN:0821841459 ; XISBN:9780821841457
登録日 2009.09.18
更新日 2017.02.18

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