Multifractal analysis of geodesic flows on surfaces without focal points
Dynamical Systems
2021-04-05 v1
Abstract
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.
Keywords
Cite
@article{arxiv.2104.01044,
title = {Multifractal analysis of geodesic flows on surfaces without focal points},
author = {Kiho Park and Tianyu Wang},
journal= {arXiv preprint arXiv:2104.01044},
year = {2021}
}
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