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arXiv · 1310.3903

On the Lagrange and Markov Dynamical Spectra

Sergio Augusto Romaña Ibarra·Carlos Gustavo T. de A. Moreira
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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.

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Sergio Augusto Romaña Ibarra, Carlos Gustavo T. de A. Moreira. 2013-10-15. On the Lagrange and Markov Dynamical Spectra. https://arxiv.org/abs/1310.3903

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