The space of homogeneous probability measures on [Formula: see text] is compact: With an appendix by Jialun Li

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.

Detalles Bibliográficos
Autores principales: Daw, Christopher, Gorodnik, Alexander, Ullmo, Emmanuel
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Berlin Heidelberg 2022
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10163147/
https://www.ncbi.nlm.nih.gov/pubmed/37162800
http://dx.doi.org/10.1007/s00208-022-02412-w
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author Daw, Christopher
Gorodnik, Alexander
Ullmo, Emmanuel
author_facet Daw, Christopher
Gorodnik, Alexander
Ullmo, Emmanuel
author_sort Daw, Christopher
collection PubMed
description 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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spelling pubmed-101631472023-05-07 The space of homogeneous probability measures on [Formula: see text] is compact: With an appendix by Jialun Li Daw, Christopher Gorodnik, Alexander Ullmo, Emmanuel Math Ann Article 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. Springer Berlin Heidelberg 2022-06-08 2023 /pmc/articles/PMC10163147/ /pubmed/37162800 http://dx.doi.org/10.1007/s00208-022-02412-w Text en © The Author(s) 2022 https://creativecommons.org/licenses/by/4.0/Open AccessThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) .
spellingShingle Article
Daw, Christopher
Gorodnik, Alexander
Ullmo, Emmanuel
The space of homogeneous probability measures on [Formula: see text] is compact: With an appendix by Jialun Li
title The space of homogeneous probability measures on [Formula: see text] is compact: With an appendix by Jialun Li
title_full The space of homogeneous probability measures on [Formula: see text] is compact: With an appendix by Jialun Li
title_fullStr The space of homogeneous probability measures on [Formula: see text] is compact: With an appendix by Jialun Li
title_full_unstemmed The space of homogeneous probability measures on [Formula: see text] is compact: With an appendix by Jialun Li
title_short The space of homogeneous probability measures on [Formula: see text] is compact: With an appendix by Jialun Li
title_sort space of homogeneous probability measures on [formula: see text] is compact: with an appendix by jialun li
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10163147/
https://www.ncbi.nlm.nih.gov/pubmed/37162800
http://dx.doi.org/10.1007/s00208-022-02412-w
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