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arXiv · 1605.01783

On the Lagrange and Markov Dynamical Spectra for Anosov Flows in dimension 3

Sergio Augusto Romaña Ibarra
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Abstract

We consider the Lagrange and the Markov dynamical spectra associated with a conservative Anosov flow on a compact manifold of dimension $3$ (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.

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Sergio Augusto Romaña Ibarra. 2016-05-05. On the Lagrange and Markov Dynamical Spectra for Anosov Flows in dimension 3. https://arxiv.org/abs/1605.01783

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