Narrow equidistribution and counting of closed geodesics on noncompact manifolds (Q2076066)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Narrow equidistribution and counting of closed geodesics on noncompact manifolds |
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Narrow equidistribution and counting of closed geodesics on noncompact manifolds (English)
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18 February 2022
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Summary: 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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negative curvature
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geodesic flow
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periodic orbits
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equidistribution
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Gibbs measure
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counting
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