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遍历性理论引论在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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P.Walters 作者

世界图书出版公司

译者

2003-6 出版日期

250 页数

28.00元价格

简裝本

Graduate Texts in Mathematics 丛书系列

9787506260091 图书编码

遍历性理论引论在线电子书图书标签: 数学遍历概率论7 GTM 拓扑动力系统

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In 1970 I gave a graduate course in ergodic theory at the University of Maryland in College Park, and these lectures were the basis of the Springer Lecture Notes in Mathematics Volume 458 called "Ergodic Theory--Introductory Lectures" which was published in 1975. This volume is nowout of print, so I decided to revise and add to the contents of these notes. I have updated the earlier chapters and have added some new chapters on the ergodic theory of continuous transformations of compact metric spaces. In particular, I have included some material on topological pressure and equilibrium states. In recent years there have been some fascinating interactions of ergodic theory with differentiable dynamics, differential geometry,number theory, von Neumann algebras, probability theory, statistical mechanics, and other topics. In Chapter 10 1 have briefly described some of these and given references to some of the others. I hope that this book will give the reader enough foundation to tackle the research papers on ergodictheory and its applications.

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