Survey of recent results in the spectral theory of ergodic dynamical systems

被引：18

作者：

Goodson G.R. ^{[1
]}

机构：

[1] Department of Mathematics, Towson University, Towson

来源：

Journal of Dynamical and Control Systems | 1999年 / 5卷 / 2期

关键词：

Ergodic automorphisms; spectrum; intertwining operators;

D O I：

10.1023/A:1021726902801

中图分类号：

学科分类号：

摘要：

The purpose of this paper is to survey recent results in the spectral theory of ergodic dynamical systems. In addition we prove some known results using new methods and mention some new results, including the recent solution to Rokhlin's problem concerning ergodic transformations having a homogeneous spectrum of multiplicity two. We emphasize applications of ideas arising from the theory of joinings and Markov intertwinings.

引用

页码：173 / 226

页数：53

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