Multifractal Analysis of Lyapunov Exponent for Continued Fraction and Manneville–Pomeau Transformations and Applications to Diophantine Approximation

被引：1

作者：

Mark Pollicott

Howard Weiss

机构：

[1] Department of Mathematics,

[2] The University of Manchester,undefined

[3] Oxford Road,undefined

[4] M13 9PL,undefined

[5] Manchester,undefined

[6] UK. E-mail: mp@ma.man.ac.uk,undefined

[7] Department of Mathematics,undefined

[8] The Pennsylvania State University,undefined

[9] University Park,undefined

[10] PA 16802,undefined

[11] USA.¶E-mail: weiss@math.psu.edu,undefined

来源：

Communications in Mathematical Physics | 1999年 / 207卷

关键词：

Lyapunov Exponent; Quantitative Information; Common Point; Continue Fraction; Multifractal Analysis;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We extend some of the theory of multifractal analysis for conformal expanding systems to two new cases: The non-uniformly hyperbolic example of the Manneville–Pomeau equation and the continued fraction transformation. A common point in the analysis is the use of thermodynamic formalism for transformations with infinitely many branches.

引用

页码：145 / 171

页数：26

共 23 条

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