Distribution of orbits of geometrically finite groups acting on null vectors

Autor:	Tamam, Nattalie, Warren, Jacqueline M.
Rok vydání:	2020
Předmět:	Mathematics - Dynamical Systems
Druh dokumentu:	Working Paper
Popis:	We study the distribution of non-discrete orbits of geometrically finite groups in $\operatorname{SO}(n,1)$ acting on $\mathbb{R}^{n+1}$, and more generally on the quotient of $\operatorname{SO}(n,1)$ by a horospherical subgroup. Using equidistribution of horospherical flows, we obtain both asymptotics for the distribution of orbits for the action of general geometrically finite groups, and we obtain quantitative statements with additional assumptions. Comment: Improved readability of the paper and corrected small errors/typos. To appear in Geometriae Dedicata. 41 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2009.11968 Zobrazit plný text záznamu View this record from Arxiv