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.
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页码：145 / 171
页数：26
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