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

Samuel Edwards

doi:10.4171/cmh/513

JournalscmhVol. 96, No. 2pp. 275–337

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

Samuel Edwards
Yale University, New Haven, USA, and Uppsala University, Sweden

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

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Abstract

Let $G$ be a semisimple Lie group and $Γ$ 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 $Γ\ G$ .

Cite this article

Samuel Edwards, On the rate of equidistribution of expanding translates of horospheres in $Γ\ G$ . Comment. Math. Helv. 96 (2021), no. 2, pp. 275–337

DOI 10.4171/CMH/513