Distribution of orbits of geometrically finite groups acting on null vectors

被引：1
|
作者：
Tamam, Nattalie [1 ]
Warren, Jacqueline M. [1 ]
机构：
[1] Univ Calif San Diego, Dept Math, San Diego, CA 92103 USA
来源：
GEOMETRIAE DEDICATA | 2022年 / 216卷 / 01期
关键词：
Homogeneous dynamics; Ergodic theory; Discrete subgroups of Lie groups; Flows in homogeneous spaces; LATTICE ORBITS; R-2;
D O I：
10.1007/s10711-021-00669-0
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study the distribution of non-discrete orbits of geometrically finite groups in SO(n, 1) acting on Rn+1, and more generally on the quotient of 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.
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页数：38
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