Patterson-Sullivan and Wigner distributions of convex-cocompact hyperbolic surfaces
Spectral Theory
2026-02-16 v3 Mathematical Physics
math.MP
Abstract
We prove that the Patterson-Sullivan and Wigner distributions on the unit sphere bundle of a convex-cocompact hyperbolic surface are asymptotically identical. This generalizes results in the compact case by Anantharaman-Zelditch and Hansen-Hilgert-Schr\"oder.
Cite
@article{arxiv.2411.19782,
title = {Patterson-Sullivan and Wigner distributions of convex-cocompact hyperbolic surfaces},
author = {Benjamin Delarue and Guendalina Palmirotta},
journal= {arXiv preprint arXiv:2411.19782},
year = {2026}
}
Comments
31 pages, 3 figures. Revised version