Equidistribution of divergent geodesics in negative curvature
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Acceso en línea: | |
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| _version_ | 1866913639345160192 |
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| author | Parkkonen, Jouni Paulin, Frédéric Sayous, Rafael |
| author_facet | Parkkonen, Jouni Paulin, Frédéric Sayous, Rafael |
| contents | In the unit tangent bundle of noncompact finite volume negatively curved Riemannian manifolds, we prove the equidistribution towards the measure of maximal entropy for the geodesic flow of the Lebesgue measure along the divergent geodesic flow orbits, as their complexity tends to infinity. We prove the analogous result for geometrically finite tree quotients, where the equidistribution takes place in the quotient space of geodesic lines towards the Bowen-Margulis measure. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_03925 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Equidistribution of divergent geodesics in negative curvature Parkkonen, Jouni Paulin, Frédéric Sayous, Rafael Dynamical Systems Differential Geometry 37D40, 53C22, 20E08, 37D35, 37A25 In the unit tangent bundle of noncompact finite volume negatively curved Riemannian manifolds, we prove the equidistribution towards the measure of maximal entropy for the geodesic flow of the Lebesgue measure along the divergent geodesic flow orbits, as their complexity tends to infinity. We prove the analogous result for geometrically finite tree quotients, where the equidistribution takes place in the quotient space of geodesic lines towards the Bowen-Margulis measure. |
| title | Equidistribution of divergent geodesics in negative curvature |
| topic | Dynamical Systems Differential Geometry 37D40, 53C22, 20E08, 37D35, 37A25 |
| url | https://arxiv.org/abs/2501.03925 |