Ergodic Theory via Joinings
Ergodic Theory via Joinings
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DOI：
10.1090/surv/101
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发表时间：
2003-02
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影响因子：
--
通讯作者：
E. Glasner
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文献类型：
--
作者：
E. Glasner
介绍一般群体作用：拓扑动力学Lebesgue空间上的动力系统遍历性和混合性拓扑系统上的不变测度谱理论联接的一些应用拟因子等距和弱混合扩张Furstenberg-Zimmer结构定理Host定理简单系统及其自联接Kazhdan性质和$M_{\Gamma}的几何（\mathbf{X}）$\mathbb{Z}$-系统的熵理论：熵符号表示构造测度和拓扑熵之间的关系Pinsker代数、CPE和零熵系统熵对Krieger和Ornstein定理先决条件背景和定理参考书目符号索引术语索引。
Introduction General group actions: Topological dynamics Dynamical systems on Lebesgue spaces Ergodicity and mixing properties Invariant measures on topological systems Spectral theory Joinings Some applications of joinings Quasifactors Isometric and weakly mixing extensions The Furstenberg-Zimmer structure theorem Host's theorem Simple systems and their self-joinings Kazhdan's property and the geometry of $M_{\Gamma}(\mathbf{X})$ Entropy theory for $\mathbb{Z}$-systems: Entropy Symbolic representations Constructions The relation between measure and topological entropy The Pinsker algebra, CPE and zero entropy systems Entropy pairs Krieger's and Ornstein's theorems Prerequisite background and theorems Bibliography Index of symbols Index of terms.