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

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作者：
Sergio Augusto Romaña Ibarra
机构：
[1] Universidade Federal do Rio de Janeiro,
来源：
Qualitative Theory of Dynamical Systems | 2022年 / 21卷
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摘要：
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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