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Multifractal analysis of ergodic averages in some non-uniformly hyperbolic systems

Published online by Cambridge University Press:  01 June 2015

ZHENG YIN ,
ERCAI CHEN  and
XIAOYAO ZHOU
ZHENG YIN
Affiliation:
School of Mathematical Sciences and Institute of Mathematics, Nanjing Normal University, Nanjing 210023, Jiangsu, PR China email zhengyinmail@126.com
ERCAI CHEN
Affiliation:
School of Mathematical Sciences and Institute of Mathematics, Nanjing Normal University, Nanjing 210023, Jiangsu, PR China email zhengyinmail@126.com Center of Nonlinear Science, Nanjing University, Nanjing 210093, Jiangsu, PR China email ecchen@njnu.edu.cn
XIAOYAO ZHOU
Affiliation:
Key Laboratory of Wu Wen-Tsun Mathematics, Chinese Academy of Sciences, School of Mathematical Sciences, University of Science and Technology of China, No. 96 Jinzhai Road, Hefei, Anhui Province, 230026, PR China email zhouxiaoyaodeyouxian@126.com
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Abstract

This article is devoted to the study of the multifractal analysis of ergodic averages in some non-uniformly hyperbolic systems. In particular, our results hold for the robust classes of multidimensional non-uniformly expanding local diffeomorphisms and Viana maps.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 36 , Issue 7 , October 2016 , pp. 2334 - 2350
Copyright
© Cambridge University Press, 2015 

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