On the Lagrange and Markov Dynamical Spectra
Dynamical Systems
2015-05-20 v2
Abstract
We consider the Lagrange and the Markov dynamical spectra associated to horseshoes on surface with Hausdorff dimensions greater than 1. We show that for a "large" set of real functions on the surface and for "typical" horseshoes with Hausdorff dimensions greater than 1, then both the Lagrange and the Markov dynamical spectrum have persistently non-empty interior.
Cite
@article{arxiv.1310.3903,
title = {On the Lagrange and Markov Dynamical Spectra},
author = {Sergio Augusto Romaña Ibarra and Carlos Gustavo T. de A. Moreira},
journal= {arXiv preprint arXiv:1310.3903},
year = {2015}
}