{"title":"Patterson-Sullivan and Wigner distributions of convex-cocompact  hyperbolic surfaces","date_created":"2024-12-04T16:28:05Z","external_id":{"arxiv":["2411.19782"]},"publication":"arXiv:2411.19782","user_id":"109467","author":[{"last_name":"Delarue","full_name":"Delarue, Benjamin","first_name":"Benjamin"},{"full_name":"Palmirotta, Guendalina","last_name":"Palmirotta","first_name":"Guendalina"}],"type":"preprint","year":"2024","citation":{"bibtex":"@article{Delarue_Palmirotta_2024, title={Patterson-Sullivan and Wigner distributions of convex-cocompact  hyperbolic surfaces}, journal={arXiv:2411.19782}, author={Delarue, Benjamin and Palmirotta, Guendalina}, year={2024} }","ama":"Delarue B, Palmirotta G. Patterson-Sullivan and Wigner distributions of convex-cocompact  hyperbolic surfaces. <i>arXiv:241119782</i>. Published online 2024.","ieee":"B. Delarue and G. Palmirotta, “Patterson-Sullivan and Wigner distributions of convex-cocompact  hyperbolic surfaces,” <i>arXiv:2411.19782</i>. 2024.","apa":"Delarue, B., &#38; Palmirotta, G. (2024). Patterson-Sullivan and Wigner distributions of convex-cocompact  hyperbolic surfaces. In <i>arXiv:2411.19782</i>.","short":"B. Delarue, G. Palmirotta, ArXiv:2411.19782 (2024).","chicago":"Delarue, Benjamin, and Guendalina Palmirotta. “Patterson-Sullivan and Wigner Distributions of Convex-Cocompact  Hyperbolic Surfaces.” <i>ArXiv:2411.19782</i>, 2024.","mla":"Delarue, Benjamin, and Guendalina Palmirotta. “Patterson-Sullivan and Wigner Distributions of Convex-Cocompact  Hyperbolic Surfaces.” <i>ArXiv:2411.19782</i>, 2024."},"status":"public","department":[{"_id":"10"},{"_id":"548"}],"date_updated":"2024-12-04T16:33:27Z","_id":"57582","project":[{"name":"TRR 358 - B02: TRR 358 - Spektraltheorie in höherem Rang und unendlichem Volumen (Teilprojekt B02)","_id":"356","grant_number":"491392403"}],"language":[{"iso":"eng"}],"abstract":[{"text":"We prove that the Patterson-Sullivan and Wigner distributions on the unit\r\nsphere bundle of a convex-cocompact hyperbolic surface are asymptotically\r\nidentical. This generalizes results in the compact case by\r\nAnantharaman-Zelditch and Hansen-Hilgert-Schr\\\"oder.","lang":"eng"}]}