On the Lagrange and Markov Dynamical Spectra for Anosov Flows in dimension 3
Dynamical Systems
2021-03-02 v3
Abstract
We consider the Lagrange and the Markov dynamical spectra associated with a conservative Anosov flow on a compact manifold of dimension (including geodesic flows of negative curvature and suspension flows). We show that for a large set of real functions and typical conservative Anosov flows, both the Lagrange and Markov dynamical spectra have a non-empty interior.
Keywords
Cite
@article{arxiv.1605.01783,
title = {On the Lagrange and Markov Dynamical Spectra for Anosov Flows in dimension 3},
author = {Sergio Augusto Romaña Ibarra},
journal= {arXiv preprint arXiv:1605.01783},
year = {2021}
}
Comments
In this new version, we have added an Appendix with the proof of some technical lemmas