Patterson-Sullivan and Wigner distributions of convex-cocompact hyperbolic surfaces - Delarue, Benjamin; Palmirotta, Guendalina (arXiv:2411.19782, 2024)
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.
Keywords: preprint