Rotation and entropy

被引：31

作者：

Geller, W ^{[1
]}

Misiurewicz, M ^{[1
]}

机构：

[1] Indiana Univ Purdue Univ, Dept Math Sci, Indianapolis, IN 46202 USA

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 1999年 / 351卷 / 07期

关键词：

rotation sets; entropy;

D O I：

10.1090/S0002-9947-99-02344-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For a given map f : X --> X and an observable phi : X --> R-d; rotation vectors are the limits of ergodic averages of phi. We study which part of the topological entropy of f is associated to a given rotation vector and which part is associated with many rotation vectors. According to this distinction, we introduce directional and lost entropies. We discuss their properties in the general case and analyze them more closely for subshifts of finite type and circle maps.

引用

页码：2927 / 2948

页数：22

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