SPECTRUM OF MULTIDIMENSIONAL DYNAMICAL-SYSTEMS WITH POSITIVE ENTROPY

被引：10
|
作者：
KAMINSKI, B
LIARDET, P
机构：
来源：
STUDIA MATHEMATICA | 1994年 / 108卷 / 01期
关键词：
D O I：
10.4064/sm-108-1-77-85
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Applying methods of harmonic analysis we give a simple proof of the multidimensional version of the Rokhlin-Sinai theorem which states that a Kolmogorov Z(d)-action on a Lebesgue space has a countable Lebesgue spectrum. At the same time we extend this theorem to Z(infinity)-actions. Next, using its relative version, we extend to Z(infinity)-actions some other general results connecting spectrum and entropy.
引用
收藏
页码：77 / 85
页数：9
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