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<図書>
Noise-induced phenomena in slow-fast dynamical systems : a sample-paths approach

責任表示 Nils Berglund and Barbara Gentz
シリーズ Probability and its applications
データ種別 図書
出版情報 London : Springer , c2006
本文言語 英語
大きさ xiii, 276 p. : ill. ; 25 cm
概要 Stochastic differential equations play-an increasingly important role in modeling the dynamics of a large variety of systems in the natural sciences, and in technological applications. This book is ai...ed at advanced undergraduate and graduate students, and researchers in mathematics, physics, the natural sciences, and engineering. It presents a new constructive approach to the quantitative description of solutions to systems of stochastic differential equations evolving on well-separated timescales. The method, which combines techniques from stochastic analysis and singular perturbation theory, allows the domains of concentration for typical sample paths to be determined, and provides precise estimates on the transition probabilities between these domains.続きを見る
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所蔵情報



理系図3F 数理独自 BERG/115.5/1 2006
130012018022545

書誌詳細

一般注記 Includes bibliographical references (p. [249]-261) and index
著者標目 *Berglund, Nils
Gentz, Barbara
件 名 LCSH:Stochastic differential equations
LCSH:Differential equations -- Asymptotic theory  全ての件名で検索
LCSH:Random dynamical systems
LCSH:Noise -- Mathematical models  全ての件名で検索
分 類 SG:530
LCC:QA274.23
DC22:519.2
書誌ID 1001670950
ISBN 9781846280382
NCID BA75290700
巻冊次 ISBN:9781846280382 ; XISBN:1846280389
登録日 2019.02.18
更新日 2019.02.18