{"title":"Patterson-Sullivan and Wigner distributions of convex-cocompact  hyperbolic surfaces","type":"preprint","project":[{"grant_number":"491392403","name":"TRR 358 - B02: TRR 358 - Spektraltheorie in höherem Rang und unendlichem Volumen (Teilprojekt B02)","_id":"356"}],"date_updated":"2024-12-04T16:33:27Z","external_id":{"arxiv":["2411.19782"]},"_id":"57582","publication":"arXiv:2411.19782","year":"2024","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"}],"user_id":"109467","status":"public","citation":{"mla":"Delarue, Benjamin, and Guendalina Palmirotta. “Patterson-Sullivan and Wigner Distributions of Convex-Cocompact  Hyperbolic Surfaces.” <i>ArXiv:2411.19782</i>, 2024.","ieee":"B. Delarue and G. Palmirotta, “Patterson-Sullivan and Wigner distributions of convex-cocompact  hyperbolic surfaces,” <i>arXiv:2411.19782</i>. 2024.","ama":"Delarue B, Palmirotta G. Patterson-Sullivan and Wigner distributions of convex-cocompact  hyperbolic surfaces. <i>arXiv:241119782</i>. Published online 2024.","short":"B. Delarue, G. Palmirotta, ArXiv:2411.19782 (2024).","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} }","chicago":"Delarue, Benjamin, and Guendalina 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>."},"date_created":"2024-12-04T16:28:05Z","department":[{"_id":"10"},{"_id":"548"}],"author":[{"full_name":"Delarue, Benjamin","last_name":"Delarue","first_name":"Benjamin"},{"full_name":"Palmirotta, Guendalina","last_name":"Palmirotta","first_name":"Guendalina"}]}