The space of homogeneous probability measures on $\overline{\Gamma\backslash X}^S_{\rm max}$ is compact
Abstract
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.
- Publication:
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arXiv e-prints
- Pub Date:
- October 2019
- DOI:
- 10.48550/arXiv.1910.04568
- arXiv:
- arXiv:1910.04568
- Bibcode:
- 2019arXiv191004568D
- Keywords:
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- Mathematics - Number Theory;
- Mathematics - Algebraic Geometry;
- Mathematics - Dynamical Systems
- E-Print:
- 27 pages