Multifractal analysis in non-uniformly hyperbolic interval maps

被引：0
|
作者：
Ma, Guanzhong [1 ]
Shen, Wenqiang [2 ]
Yao, Xiao [3 ]
机构：
[1] Anyang Normal Univ, Sch Math & Stat, Anyang 455000, Peoples R China
[2] Northwestern Polytech Univ, Sch Math & Stat, Xian 710129, Peoples R China
[3] Nankai Univ, Sch Math Sci & LPMC, Tianjin 300071, Peoples R China
来源：
NONLINEARITY | 2022年 / 35卷 / 01期
关键词：
multifractal analysis; Hausdorff dimension; Moran set; TOPOLOGICAL-ENTROPY; EQUILIBRIUM MEASURES; LYAPUNOV SPECTRUM; DIVERGENCE POINTS; SPECIFICATION; DIMENSION; SYSTEMS; SETS;
D O I：
10.1088/1361-6544/ac355d
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we establish a framework for the construction of Moran set driven by dynamics. Under this framework, we study the Hausdorff dimension of the generalized intrinsic level set with respect to the given ergodic measure in a class of non-uniformly hyperbolic interval maps with finitely many branches.
引用
收藏
页码：110 / 133
页数：24
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