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Higher dimensional multifractal analysis of non-uniformly hyperbolic systems
Authors:Guan-Zhong Ma  Xiao Yao
Institution:Department of Mathematical Sciences, Tsinghua University, Beijing 100084, China
Abstract:A. Johansson, T.M. Jordan, A. Öberg, and M. Pollicott (2010) 7] have studied the multifractal analysis of a class of one-dimensional non-uniformly hyperbolic systems. By introducing some new techniques, we extend the results to the case of high dimension.
Keywords:Multifractal analysis  Non-uniformly hyperbolic  Measure concatenation
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