Winding of geodesic rays chosen by a harmonic measure
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2022
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| _version_ | 1866912100818878464 |
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| author | Bénard, Timothée |
| author_facet | Bénard, Timothée |
| contents | We prove limit theorems for the homological winding of geodesic rays distributed via a harmonic measure on a Gromov hyperbolic space. We obtain applications to the inverse problem for the harmonic measure, and winding statistics for Patterson-Sullivan measures. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2211_15232 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Winding of geodesic rays chosen by a harmonic measure Bénard, Timothée Dynamical Systems Probability We prove limit theorems for the homological winding of geodesic rays distributed via a harmonic measure on a Gromov hyperbolic space. We obtain applications to the inverse problem for the harmonic measure, and winding statistics for Patterson-Sullivan measures. |
| title | Winding of geodesic rays chosen by a harmonic measure |
| topic | Dynamical Systems Probability |
| url | https://arxiv.org/abs/2211.15232 |