Multifractal analysis of the historic set in non-uniformly hyperbolic systems

被引：1
|
作者：
Ma, Guan-zhong [1 ]
Yao, Xiao [2 ]
机构：
[1] Anyang Normal Univ, Sch Math & Stat, Anyang 455000, Henan, Peoples R China
[2] Fudan Univ, Shanghai Ctr Math Sci, Shanghai 200433, Peoples R China
来源：
ARCHIV DER MATHEMATIK | 2017年 / 108卷 / 04期
关键词：
Historic set; Moran set; Non-uniformly hyperbolic; IRREGULAR SETS; POINTS;
D O I：
10.1007/s00013-017-1023-6
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We get the exact Hausdorff dimension of the historic set for ratios of the Birkhoff average in a class of one dimensional non-uniformly hyperbolic dynamical systems.
引用
收藏
页码：405 / 413
页数：9
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