Polynomial effective density in quotients of H3 and H2 x H2

被引：0
|
作者：
Lindenstrauss, E. [1 ]
Mohammadi, A. [2 ]
机构：
[1] Hebrew Univ Jerusalem, Einstein Inst Math, Edmond J Safra Campus, IL-91904 Jerusalem, Israel
[2] Univ Calif San Diego, Dept Math, San Diego, CA 92093 USA
来源：
INVENTIONES MATHEMATICAE | 2023年 / 231卷 / 03期
基金：
欧洲研究理事会; 美国国家科学基金会;
关键词：
EFFECTIVE EQUIDISTRIBUTION; HOMOGENEOUS SPACES; HOROCYCLE FLOW; ORBITS; BOUNDS; DISTRIBUTIONS; SUBGROUPS; POINTS; BEHAVIOR;
D O I：
10.1007/s00222-022-01162-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove effective density theorems, with a polynomial error rate, for orbits of the upper triangular subgroup of SL2(R) in arithmetic quotients of SL2(C) and SL2(R) x SL2(R). The proof is based on the use of a Margulis function, tools from incidence geometry, and the spectral gap of the ambient space.
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页码：1141 / 1237
页数：97
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