The space of homogeneous probability measures on $\overline{\Gamma\backslash X}^S_{\rm max}$ is compact

Daw, C. ORCID: https://orcid.org/0000-0002-2488-6729, Gorodnik, A., Ullmo, E. and Li, J. (2023) The space of homogeneous probability measures on $\overline{\Gamma\backslash X}^S_{\rm max}$ 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.

Item Type	Article
URI	https://reading-clone.eprints-hosting.org/id/eprint/104727
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
Publisher	Springer
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