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<図書>
Probabilistic properties of deterministic systems

責任表示 Andrzej Lasota, Michael C. Mackey
データ種別 図書
出版情報 Cambridge : Cambridge University Press , c1985
本文言語 英語
大きさ x, 358 p. : ill. ; 24 cm
概要 This book shows how densities arise in simple deterministic systems. Recently there has been explosive growth in interest in physical, biological, and economic systems that can be profitably studied u...ing densities. Due to the inaccessibility of the mathematical literature there has been little diffusion of the applicable mathematics into the study of these 'chaotic' systems. This book will help to bridge that gap. The authors give a unified treatment of a variety of mathematical systems generating densities, ranging from one-dimensional discrete time transformations through continuous time systems described by integro-partial differential equations. They have drawn examples from many scientific fields to illustrate the utility of the techniques presented. The book assumes a knowledge of advanced calculus and differential equations, but basic concepts from measure theory, ergodic theory, the geometry of manifolds, partial differential equations, probability theory and Markov processes, and stochastic integrals and differential equations are introduced as needed. 続きを見る

所蔵情報



理系図3F 数理独自 LASO/10/K1 1985
068252186002312


理系図 自動書庫 A/Las 1985
068252188007948


理系図 自動書庫 418.7/L 33/1 1985
068582186004913

書誌詳細

一般注記 Bibliography: p. 345-349
Includes index
著者標目 *Lasota, Andrzej, 1932-
Mackey, Michael C., 1942-
件 名 LCSH:System analysis
LCSH:Probabilities
分 類 LCC:QA402
DC19:003
書誌ID 1001053400
ISBN 052130248X
NCID BA00068052
巻冊次 ISBN:052130248X
登録日 2009.09.17
更新日 2009.11.02

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