Exceptional sets for average conformal dynamical systems

被引：0
|
作者：
Qu, Congcong [1 ]
Wang, Juan [2 ]
机构：
[1] College of Big Data and Software Engineering, Zhejiang Wanli University, Zhejiang, Ningbo,315107, China
[2] School of Mathematics, Physics and Statistics, Shanghai University of Engineering Science, Shanghai,201620, China
来源：
Chaos, Solitons and Fractals | 2022年 / 161卷
基金：
中国国家自然科学基金;
关键词：
Entropy - Fractals - Set theory - Topology;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Let f: M → M be a C1+α local diffeomorphism/diffeomorphism of a compact Riemannian manifold M and μ be an expanding/hyperbolic ergodic f-invariant Borel probability measure on M. Assume f is average conformal expanding/hyperbolic on the support set W of μ and W is locally maximal. For any subset A ⊂ W with small entropy or dimension, we investigate the topological entropy and Hausdorff dimensions of the A-exceptional set and the limit A-exceptional set. © 2022 Elsevier Ltd
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