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On the Lagrange and Markov dynamical spectra for geodesic flows on surfaces with negative curvature

CGTdAM: Partially supported by CNPq, the Palis Balzan Prize and FAPERJ.
SARI: Partially supported by CNPq, Capes, the Palis Balzan Prize and FAPERJ

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  • We consider the Lagrange and the Markov dynamical spectra associated with the geodesic flow on surfaces of negative curvature. We show that for a large set of real functions on the unit tangent bundle and typical metrics with negative curvature and finite volume, both the Lagrange and the Markov dynamical spectra have non-empty interiors.

    Mathematics Subject Classification: Primary: 37D40; Secondary: 53C20.

    Citation:

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