The space of homogeneous probability measures on $\overline{\Gamma\backslash X}^S_{\rm max}$ is compactDaw, 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
It is advisable to refer to the publisher's version if you intend to cite from this work. See Guidance on citing. To link to this item DOI: 10.1007/s00208-022-02412-w Abstract/SummaryIn 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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