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Article Dans Une Revue Groups, Geometry, and Dynamics Année : 2021

Narrow equidistribution and counting of closed geodesics on noncompact manifolds

Résumé

We prove the equidistribution of (weighted) periodic orbits of the geodesic ow on noncompact negatively curved manifolds toward equilibrium states in the narrow topology, i.e. in the dual of bounded continuous functions. We deduce an exact asymptotic counting for periodic orbits (weighted or not), which was previously known only for geometrically finite manifolds.
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Dates et versions

hal-02192686 , version 1 (24-07-2019)

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Barbara Schapira, Samuel Tapie. Narrow equidistribution and counting of closed geodesics on noncompact manifolds. Groups, Geometry, and Dynamics, 2021, 15 (3), pp.1085-1101. ⟨10.4171/GGD/624⟩. ⟨hal-02192686⟩
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