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Translate of horospheres and counting problems

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Publication:2927716
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DOI10.1353/ajm.2014.0037zbMath1354.22015arXiv1309.2352OpenAlexW2963066338MaRDI QIDQ2927716

Alireza Salehi Golsefidy, Amir Mohammadi

Publication date: 4 November 2014

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1309.2352


zbMATH Keywords

flag varietyhorospherical subgroupsRatner's theorem


Mathematics Subject Classification ID

Reflection and Coxeter groups (group-theoretic aspects) (20F55) Discrete subgroups of Lie groups (22E40)


Related Items (6)

Effective equidistribution of translates of maximal horospherical measures in the space of lattices ⋮ Expanding measures: Random walks and rigidity on homogeneous spaces ⋮ Count lifts of non-maximal closed horocycles on \(SL_N(\mathbb{Z}) \backslash SL_N(\mathbb{R})/SO_N({\mathbb{R}})\) ⋮ Apollonian circle packings and closed horospheres on hyperbolic 3-manifolds ⋮ Quantitative version of the Oppenheim conjecture for inhomogeneous quadratic forms ⋮ On the rate of equidistribution of expanding translates of horospheres in \(\Gamma\backslash G\)




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