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The space of homogeneous probability measures on (Gamma\X}over-bar(max)(S) is compact

Daw, Christopher; Gorodnik, Alexander; Ullmo, Emmanuel (2023). The space of homogeneous probability measures on (Gamma\X}over-bar(max)(S) is compact. Mathematische Annalen, 386(1-2):987-1016.

Abstract

In this paper we prove that the space of homogeneous probability measures on the maximal Satake compactification of an arithmetic locally symmetric space is compact. As an application, we explain some consequences for the distribution of weakly special subvarieties of Shimura varieties.

Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Scopus Subject Areas:Physical Sciences > General Mathematics
Uncontrolled Keywords:General Mathematics
Language:English
Date:1 June 2023
Deposited On:04 Aug 2022 16:03
Last Modified:27 Dec 2024 02:41
Publisher:Springer
ISSN:0025-5831
OA Status:Hybrid
Free access at:Publisher DOI. An embargo period may apply.
Publisher DOI:https://doi.org/10.1007/s00208-022-02412-w
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