On the rate of equidistribution of expanding translates of horospheres in $\Gamma\backslash G$

IF 1.1 3区数学 Q1 MATHEMATICS

Commentarii Mathematici Helvetici Pub Date : 2017-01-18 DOI:10.4171/cmh/513

Samuel C. Edwards

引用次数: 8

Abstract

Let $G$ be a semisimple Lie group and $\Gamma$ a lattice in $G$. We generalize a method of Burger to prove precise effective equidistribution results for translates of pieces of horospheres in the homogeneous space $\Gamma\backslash G$.

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关于$\Gamma\反斜线G中星形球体展开平移的等分布率$

设$G$是一个半单李群，$\Gamma$是$G$中的一个格。我们推广了Burger的一种方法来证明齐次空间$\Gamma\反斜杠G$中星形球片平移的精确有效等分布结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Commentarii Mathematici Helvetici 数学-数学

CiteScore

1.60

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Commentarii Mathematici Helvetici (CMH) was established on the occasion of a meeting of the Swiss Mathematical Society in May 1928. The first volume was published in 1929. The journal soon gained international reputation and is one of the world''s leading mathematical periodicals. Commentarii Mathematici Helvetici is covered in: Mathematical Reviews (MR), Current Mathematical Publications (CMP), MathSciNet, Zentralblatt für Mathematik, Zentralblatt MATH Database, Science Citation Index (SCI), Science Citation Index Expanded (SCIE), CompuMath Citation Index (CMCI), Current Contents/Physical, Chemical & Earth Sciences (CC/PC&ES), ISI Alerting Services, Journal Citation Reports/Science Edition, Web of Science.