Coding and entropy for piecewise continuous piecewise monotone transformations

被引：2
|
作者：
Kopf, C [1 ]
机构：
[1] Univ Innsbruck, Dept Math, A-6020 Innsbruck, Austria
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2005年 / 61卷 / 1-2期
关键词：
piecewise continuous piecewise monotone transformations; topological entropy; symbolic dynamics;
D O I：
10.1016/j.na.2003.07.024
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We use ideas of symbolic dynamics to define the topological entropy It (S) for a piecewise continuous piecewise monotone interval map S by counting the n-addresses of S with respect to a suitable system of pairwise disjoint open intervals. It turns out that this definition yields the same value as Bowen's definition using (n, epsilon)-separated and (n, epsilon)-spanning sets. (c) 2005 Elsevier Ltd. All rights reserved.
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页码：269 / 275
页数：7
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