arXiv:2104.01044 Abstract | arXiv Analytics

arXiv:2104.01044 [math.DS]Abstract References Reviews Resources

Multifractal analysis of geodesic flows on surfaces without focal points

Published 2021-04-02Version 1

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.

Comments: Comments welcome

Categories: math.DS

Keywords: geodesic flows, focal points, multifractal analysis, study multifractal spectra, level sets

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