Multifractal analysis of non-conformal repellers: a model case

被引：3

作者：

Barreira, Luis ^{[1
]}

Radu, Lucian

机构：

[1] Inst Super Tecn, Dept Matemat, P-1049001 Lisbon, Portugal

[2] Univ Minho, Dept Matemat, P-4710057 Braga, Portugal

来源：

DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL | 2007年 / 22卷 / 02期

关键词：

D O I：

10.1080/14689360600872631

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For a model class of repellers of non-conformal expanding maps, we obtain sharp lower bounds for the dimension spectra of the Birkhoff averages of a Holder continuous function. As in the well-studied case of conformal dynamics, the bounds are also expressed here in terms of the thermodynamic formalism.

引用

页码：147 / 168

页数：22

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