| 书目名称 | Random Dynamical Systems | | 编辑 | Ludwig Arnold | | 视频video | | | 概述 | This is the first comprehensive monograph on this active subject, dealing with the fundamentals through to current research, and written by one of the leaders in the field..Includes supplementary mate | | 丛书名称 | Springer Monographs in Mathematics | | 图书封面 |  | | 描述 | Background and Scope of the Book This book continues, extends, and unites various developments in the intersection of probability theory and dynamical systems. I will briefly outline the background of the book, thus placing it in a systematic and historical context and tradition. Roughly speaking, a random dynamical system is a combination of a measure-preserving dynamical system in the sense of ergodic theory, (D,F,lP‘, (B(t))tE‘lf), ‘II‘= JR+, IR, z+, Z, with a smooth (or topological) dy namical system, typically generated by a differential or difference equation :i: = f(x) or Xn+l = tp(x.,), to a random differential equation :i: = f(B(t)w,x) or random difference equation Xn+l = tp(B(n)w, Xn)· Both components have been very well investigated separately. However, a symbiosis of them leads to a new research program which has only partly been carried out. As we will see, it also leads to new problems which do not emerge if one only looks at ergodic theory and smooth or topological dynam ics separately. From a dynamical systems point of view this book just deals with those dynamical systems that have a measure-preserving dynamical system as a factor (or, the other way around, are e | | 出版日期 | Book 1998 | | 关键词 | Kozykel; Markov; Measure; Transformation; cocycles; glatte Ergodentheorie; linear algebra; multiplicative e | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-662-12878-7 | | isbn_softcover | 978-3-642-08355-6 | | isbn_ebook | 978-3-662-12878-7Series ISSN 1439-7382 Series E-ISSN 2196-9922 | | issn_series | 1439-7382 | | copyright | Springer-Verlag Berlin Heidelberg 1998 |
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发表于 2025-3-21 20:06:39
