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

Daw, C., Gorodnik, A., Ullmo, E. and Li, J. (2022) The space of homogeneous probability measures on $\overline{\Gamma\backslash X}^S_{\rm max}$ is compact. Mathematische Annalen. ISSN 0025-5831

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To link to this item 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 Yes Science > School of Mathematical, Physical and Computational Sciences > Department of Mathematics and Statistics 104727 Springer