Higher dimensional multifractal analysis of non-uniformly hyperbolic systems |
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Authors: | Guan-Zhong Ma Xiao Yao |
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Affiliation: | Department of Mathematical Sciences, Tsinghua University, Beijing 100084, China |
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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. |
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Keywords: | Multifractal analysis Non-uniformly hyperbolic Measure concatenation |
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