Geodesic
Narrow equidistribution and counting of closed geodesics on noncompact manifolds
Barbara Schapira1 ; Samuel Tapie2
1Université de Rennes 1, France
2Université de Nantes, France
Groups, geometry, and dynamics, Tome 15 (2021) no. 3, pp. 1085-1101

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DOI

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.
DOI : 10.4171/ggd/624
Classification : 37-XX
Mots-clés : Negative curvature, geodesic flow, periodic orbits, equidistribution, Gibbs measure, counting

Barbara Schapira  1   ; Samuel Tapie  2

1 Université de Rennes 1, France
2 Université de Nantes, France 
Barbara Schapira; Samuel Tapie. Narrow equidistribution and counting of closed geodesics on noncompact manifolds. Groups, geometry, and dynamics, Tome 15 (2021) no. 3, pp. 1085-1101. doi: 10.4171/ggd/624
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     title = {Narrow equidistribution and counting of closed geodesics on noncompact manifolds},
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     pages = {1085--1101},
     year = {2021},
     volume = {15},
     number = {3},
     doi = {10.4171/ggd/624},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/624/}
}
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