The Hausdorff dimension of conformal repellers under random perturbation

被引：15
作者：
Bogenschütz, T
Ochs, G
机构：
[1] Univ Essen Gesamthsch, Fachbereich Math 6, D-45117 Essen, Germany
[2] Univ Bremen, Inst Dynam Syst, D-28334 Bremen, Germany
来源：
NONLINEARITY | 1999年 / 12卷 / 05期
关键词：
D O I：
10.1088/0951-7715/12/5/307
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove that the Hausdorff dimension of a conformal repeller is stable under random perturbations. Our perturbation model uses the notion of a bundle random dynamical system. The main ingredient of our proof is a version df the Bowen-Ruelle formula for expanding almost conformal bundle random dynamical systems.
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收藏
页码：1323 / 1338
页数：16
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