Winding of geodesic rays chosen by a harmonic measure
Dynamical Systems
2024-11-05 v3 Probability
Abstract
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.
Keywords
Cite
@article{arxiv.2211.15232,
title = {Winding of geodesic rays chosen by a harmonic measure},
author = {Timothée Bénard},
journal= {arXiv preprint arXiv:2211.15232},
year = {2024}
}
Comments
45 pages, the bibliography has been updated and some proofs have been expounded