Multifractal analysis for the exponential family

被引：0

作者：

Iommi, Godofredo

Skorulski, Bartlomiej

机构：

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

[2] Polish Acad Sci, Inst Math, Warsaw, Poland

[3] Univ Catolica Norte, Dept Matemat, Antofagasta, Chile

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2006年 / 16卷 / 04期

关键词：

multifractal analysis; exponential family; conformal measures;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the multifractal spectrum for hyperbolic maps from the exponential family. We define a class of potentials for which we prove the existence of conformal measures. Next, we show that the multifractal spectrum of this conformal measure is the Legendre transform of the temperature function. We prove that the domain of the spectrum is unbounded and show that there are two possibilities for its shape.

引用

页码：857 / 869

页数：13

共 15 条

[1] Sets of "non-typical" points have full topological entropy and full Hausdorff dimension [J].