Computing the topological entropy for piecewise monotonic maps on the interval

被引：8

作者：

Steinberger, T ^{[1
]}

机构：

[1] Univ Vienna, Inst Math, A-1090 Vienna, Austria

来源：

JOURNAL OF STATISTICAL PHYSICS | 1999年 / 95卷 / 1-2期

关键词：

topological entropy; piecewise monotonic transformation; least square procedure; algorithm; dynamical system; Markov diagram;

D O I：

10.1023/A:1004585613252

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A new method for computing the topological entropy of a piecewise monotonic transformation on the interval is presented. It uses a transition matrix associated with the transformation. For this matrix wt: give a spectral theorem. This can be used for an estimation of the accuracy of the algorithm.

引用

页码：287 / 303

页数：17

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