Some counterexamples in topological dynamics

被引：11
|
作者：
Pavlov, Ronnie [1 ]
机构：
[1] Ohio State Univ, Dept Math, Columbus, OH 43210 USA
来源：
ERGODIC THEORY AND DYNAMICAL SYSTEMS | 2008年 / 28卷
关键词：
D O I：
10.1017/S0143385707000508
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we exhibit, for any sparse-enough increasing sequence {p(n)} of integers, totally minimal, totally uniquely ergodic, and topologically mixing systems (X, T) and (X', V') and f epsilon C(X) for which the averages (1/N Sigma(N-1)(n=0) f (T (pn) x) fail to converge on a residual set in X, and where there exists X' epsilon X' with x' is not an element of {T' p(n) x'}.
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页码：1291 / 1322
页数：32
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