Fractal dimensions for dissipative sets

被引：6

作者：

Stratmann, B

Vogt, R

机构：

[1] Mathematisches Institut, Universität Göttingen, D-37073 Göttingen

来源：

NONLINEARITY | 1997年 / 10卷 / 02期

关键词：

D O I：

10.1088/0951-7715/10/2/014

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For characteristic subsets of infinite binary shift spaces, we derive lower bounds for the Hausdorff dimension with respect to Gibbs measures. Using these estimates, we then obtain a more refined fractal analysis of dissipative phenomena for the dynamical system which inspired van Strien and Nowicki to construct Julia sets of positive Lebesgue measure.

引用

页码：565 / 577

页数：13

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