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Narrow equidistribution and counting of closed geodesics on noncompact manifolds
Article de revue   Avec comité de lecture

Narrow equidistribution and counting of closed geodesics on noncompact manifolds

Barbara Schapira et Samuel Tapie
Groups, geometry and dynamics, Vol.15(3), pp.1085-1101
01/01/2021

Résumé

Mathematics Physical Sciences Science & Technology
We prove the equidistribution of (weighted) periodic orbits for the geodesic flow 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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