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On the Lagrange and Markov Dynamical Spectra
Published 15 Oct 2013 in math.DS | (1310.3903v2)
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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