Minimal rates of entropy convergence for completely ergodic systems

被引：5
作者：
Blume, F [1 ]
机构：
[1] John Brown Univ, Dept Math, Siloarn Springs, AR 72761 USA
来源：
ISRAEL JOURNAL OF MATHEMATICS | 1998年 / 108卷 / 1期
关键词：
D O I：
10.1007/BF02783038
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
If (X,T) is a completely ergodic system, then there exists a positive monotone increasing sequence {an}(n=1)(infinity) with lim(n-->infinity) a(n) = infinity and a positive concave function g defined on [1, infinity) for which g(x)/x(2) is not integrable such that [GRAPHICS] for all nontrivial partitions alpha of X into two sets.
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页码：1 / 12
页数：12
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