Multifractal analysis of geodesic flows on surfaces without focal points

Kiho Park; Tianyu Wang

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Multifractal analysis of geodesic flows on surfaces without focal points

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arxiv 2104.01044 v1 pith:SWZMOHVG submitted 2021-04-02 math.DS

Multifractal analysis of geodesic flows on surfaces without focal points

Kiho Park , Tianyu Wang This is my paper

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keywords flowsfocalgeodesicmultifractalpointssurfaceswithoutanalysis

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We study multifractal spectra of the geodesic flows on rank 1 surfaces without focal points. We compute the entropy of the level sets for the Lyapunov exponents and estimate its Hausdorff dimension from below. In doing so, we employ and generalize results of Burns and Gelfert.

Multifractal analysis of geodesic flows on surfaces without focal points

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