Minimal rates of entropy convergence for rank one systems

被引：3

作者：

Blume, F ^{[1
]}

机构：

[1] John Brown Univ, Dept Math, Siloam Springs, AR 72761 USA

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2000年 / 6卷 / 04期

关键词：

entropy; convergence rates; measure-preserving transformation; rank one;

D O I：

10.3934/dcds.2000.6.773

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

If (X,T) is a rank one system and g a positive concave function on (0,infinity) such that g(x)(2)/x(3) is integrable, then lim sup(n-->infinity) H(alpha (n-1)(0))/g(log(2) n) = infinity, for all partitions alpha of X into two sets with lim(n-->infinity) max{mu>(*) over bar * (A) \ A is an element of alpha (n-1)(0)} =0.

引用

页码：773 / 796

页数：24