On the Lagrange and Markov Dynamical Spectra for Geodesic Flows in Surfaces with Negative Curvature
Dynamical Systems
2023-04-27 v2
Abstract
We consider the Lagrange and the Markov dynamical spectra associated to a geodesic flow on a surface of negative curvature. We show that for a large set of real functions on the unit tangent bundle and for typical metrics with negative curvature and finite volume, both the Lagrange and the Markov dynamical spectra have non-empty interior.
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Cite
@article{arxiv.1505.05178,
title = {On the Lagrange and Markov Dynamical Spectra for Geodesic Flows in Surfaces with Negative Curvature},
author = {Sergio Augusto Romaña Ibarra and Carlos Gustavo T. de A. Moreira},
journal= {arXiv preprint arXiv:1505.05178},
year = {2023}
}
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