The space of homogeneous probability measures on is compact: With an appendix by Jialun Li.

Math Ann

IHES, Université Paris-Saclay, Laboratoire CNRS Alexander Grothendieck, Le Bois-Marie 35, route de Chartres, 91440 Bures-sur-Yvette, France.

Published: June 2022

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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Source
http://www.ncbi.nlm.nih.gov/pmc/articles/PMC10163147PMC
http://dx.doi.org/10.1007/s00208-022-02412-wDOI Listing

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