Ergodic Theory

·
· Springer Nature
电子书
672
评分和评价未经验证  了解详情

关于此电子书

This volume in the Encyclopedia of Complexity and Systems Science, Second Edition, covers recent developments in classical areas of ergodic theory, including the asymptotic properties of measurable dynamical systems, spectral theory, entropy, ergodic theorems, joinings, isomorphism theory, recurrence, nonsingular systems. It enlightens connections of ergodic theory with symbolic dynamics, topological dynamics, smooth dynamics, combinatorics, number theory, pressure and equilibrium states, fractal geometry, chaos. In addition, the new edition includes dynamical systems of probabilistic origin, ergodic aspects of Sarnak's conjecture, translation flows on translation surfaces, complexity and classification of measurable systems, operator approach to asymptotic properties, interplay with operator algebras

作者简介

Cesar E. Silva is the Hagey Family Professor of Mathematics at Williams College, where he has taught since 1984, and was chair of the department in 2008-2009 and 2010-2012. He received his PhD from the University of Rochester under the supervision of Dorothy Maharam, and his BS from the Pontificia Universidad Catolica in Peru. He has held visiting positions at a number of universities including Maryland and Toronto. In 2015, Silva was elected a Fellow of the American Mathematical Society. Silva’s research interests are in ergodic theory and dynamical systems, in particular the dynamics of nonsingular and infinite measure-preserving transformations, rank-one transformations, and p-adic dynamics. Silva is the author of Invitation to Ergodic Theory and Invitation to Real Analysis, both published by the American Mathematical Society, and is co-editor of two volumes of conference proceedings, published in the AMS Contemporary Mathematics series. He was associate editor of AMS Notices and is the author or co-author of over 50 research articles in the general area of ergodic theory.


Dr. Alexandre I. Danilenko is currently a leading research fellow at B. Verkin Institute for Low Temperature Physics & Engineering of the National Academy of Sciences of Ukraine. He is an expert in ergodic theory and dynamical systems. Dr. Danilenko conducts research in spectral theory, orbit theory, entropy theory, theory of joinings, nonsingular dynamics, topological dynamics, etc. During his career, he has authored or co-authored more than 60 research papers published in internationally recognized mathematical journals. Alexandre I. Danilenko received his C.Sc. degree in mathematics at Kharkiv State University in 1991 under the supervision of V. Ya. Golodets. More than 10 years he was employed as Assistant Professor and Associate Professor at V. Karazin Kharkiv National University (Ukraine). He habilitated at N. Copernicus University in Torun (Poland) in 2003. Since 2002 he has been working at B. Verkin Institute for Low Temperature Physics & Engineering of the National Academy of Sciences of Ukraine.

为此电子书评分

欢迎向我们提供反馈意见。

如何阅读

智能手机和平板电脑
只要安装 AndroidiPad/iPhone 版的 Google Play 图书应用,不仅应用内容会自动与您的账号同步,还能让您随时随地在线或离线阅览图书。
笔记本电脑和台式机
您可以使用计算机的网络浏览器聆听您在 Google Play 购买的有声读物。
电子阅读器和其他设备
如果要在 Kobo 电子阅读器等电子墨水屏设备上阅读,您需要下载一个文件,并将其传输到相应设备上。若要将文件传输到受支持的电子阅读器上,请按帮助中心内的详细说明操作。