A NON-ADDITIVE THERMODYNAMIC FORMALISM AND DIMENSION THEORY OF HYPERBOLIC DYNAMICAL SYSTEMS

被引：0

作者：

Barreira, Luis M. ^{[1
]}

机构：

[1] Inst Super Tecn, Dept Matemat, P-1096 Lisbon, Portugal

来源：

MATHEMATICAL RESEARCH LETTERS | 1996年 / 3卷 / 04期

关键词：

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We develop a non-additive version of the thermodynamic formalism. This allows us to unify and extend many results of dimension theory of hyperbolic dynamical systems. We obtain lower and upper bounds for the dimension of a broad class of Cantor-like sets and hyperbolic sets.

引用

页码：499 / 509

页数：11

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