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The space of homogeneous probability measures on Γ∖X¯¯¯¯¯¯¯¯¯¯S max is compact

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Daw, C. orcid id iconORCID: https://orcid.org/0000-0002-2488-6729, Gorodnik, A. and Ullmo, E. (2023) The space of homogeneous probability measures on Γ∖X¯¯¯¯¯¯¯¯¯¯S max is compact. Mathematische Annalen, 386. pp. 987-1016. ISSN 0025-5831 doi: 10.1007/s00208-022-02412-w

Abstract/Summary

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.

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Item Type Article
URI https://reading-clone.eprints-hosting.org/id/eprint/112030
Identification Number/DOI 10.1007/s00208-022-02412-w
Refereed Yes
Divisions Science > School of Mathematical, Physical and Computational Sciences > Department of Mathematics and Statistics
Uncontrolled Keywords 60B10, 28A33, 53C35
Publisher Springer
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