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
收藏
页码：565 / 577
页数：13
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