Effective equidistribution of horospherical flows in infinite volume rank one homogeneous spaces

Autor:	Tamam, Nattalie, Warren, Jacqueline M.
Rok vydání:	2020
Předmět:	Mathematics - Dynamical Systems
Druh dokumentu:	Working Paper
Popis:	We prove effective equidistribution of horospherical flows in $\operatorname{SO}(n,1)^\circ / \Gamma$ when $\Gamma$ is geometrically finite and the frame flow is exponentially mixing for the Bowen-Margulis-Sullivan measure. We also discuss settings in which such an exponential mixing result is known to hold. As part of the proof, we show that the Patterson-Sullivan measure satisfies some friendly-like properties when $\Gamma$ is geometrically finite. Comment: Rewritten to remove the assumption that all cusps should have maximal rank; results now hold for general geometrically finite groups
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2007.03135 Zobrazit plný text záznamu View this record from Arxiv