Equidistribution of continuous low-lying pairs of horocycles via Ratner’s theorem
We record an alternative proof of a recent joint equidistribution result of Blomer and Michel, based on Ratner’s topological rigidity theorem. This approach has the advantage of extending to non-uniform lattices.
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| Format: | Article |
| Language: | English |
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Académie des sciences
2025-03-01
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| Series: | Comptes Rendus. Mathématique |
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| Online Access: | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.693/ |
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| author | Burrin, Claire |
| author_facet | Burrin, Claire |
| author_sort | Burrin, Claire |
| collection | DOAJ |
| description | We record an alternative proof of a recent joint equidistribution result of Blomer and Michel, based on Ratner’s topological rigidity theorem. This approach has the advantage of extending to non-uniform lattices. |
| format | Article |
| id | doaj-art-4ab0582916f84026bed0248cf1dbfdf4 |
| institution | Kabale University |
| issn | 1778-3569 |
| language | English |
| publishDate | 2025-03-01 |
| publisher | Académie des sciences |
| record_format | Article |
| series | Comptes Rendus. Mathématique |
| spelling | doaj-art-4ab0582916f84026bed0248cf1dbfdf42025-08-20T03:58:11ZengAcadémie des sciencesComptes Rendus. Mathématique1778-35692025-03-01363G11510.5802/crmath.69310.5802/crmath.693Equidistribution of continuous low-lying pairs of horocycles via Ratner’s theoremBurrin, Claire0Institute of Mathematics, University of Zurich, SwitzerlandWe record an alternative proof of a recent joint equidistribution result of Blomer and Michel, based on Ratner’s topological rigidity theorem. This approach has the advantage of extending to non-uniform lattices.https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.693/Joint equidistributionmeasure classificationcommensuratorHecke operatorsmatrix coefficients |
| spellingShingle | Burrin, Claire Equidistribution of continuous low-lying pairs of horocycles via Ratner’s theorem Comptes Rendus. Mathématique Joint equidistribution measure classification commensurator Hecke operators matrix coefficients |
| title | Equidistribution of continuous low-lying pairs of horocycles via Ratner’s theorem |
| title_full | Equidistribution of continuous low-lying pairs of horocycles via Ratner’s theorem |
| title_fullStr | Equidistribution of continuous low-lying pairs of horocycles via Ratner’s theorem |
| title_full_unstemmed | Equidistribution of continuous low-lying pairs of horocycles via Ratner’s theorem |
| title_short | Equidistribution of continuous low-lying pairs of horocycles via Ratner’s theorem |
| title_sort | equidistribution of continuous low lying pairs of horocycles via ratner s theorem |
| topic | Joint equidistribution measure classification commensurator Hecke operators matrix coefficients |
| url | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.693/ |
| work_keys_str_mv | AT burrinclaire equidistributionofcontinuouslowlyingpairsofhorocyclesviaratnerstheorem |