Non-escape of mass for arithmetic quantum limits on hyperbolic $4$-manifolds
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866929336964087808 |
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| author | de Faveri, Alexandre Shem-Tov, Zvi |
| author_facet | de Faveri, Alexandre Shem-Tov, Zvi |
| contents | We make progress on the quantum unique ergodicity (QUE) conjecture for Hecke-Maass forms on a congruence quotient of hyperbolic $4$-space, eliminating the possibility of "escape of mass" for these forms. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_04221 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Non-escape of mass for arithmetic quantum limits on hyperbolic $4$-manifolds de Faveri, Alexandre Shem-Tov, Zvi Number Theory Dynamical Systems 11F30 (Primary) 11F60, 37A44, 81Q50, 58J51 (Secondary) We make progress on the quantum unique ergodicity (QUE) conjecture for Hecke-Maass forms on a congruence quotient of hyperbolic $4$-space, eliminating the possibility of "escape of mass" for these forms. |
| title | Non-escape of mass for arithmetic quantum limits on hyperbolic $4$-manifolds |
| topic | Number Theory Dynamical Systems 11F30 (Primary) 11F60, 37A44, 81Q50, 58J51 (Secondary) |
| url | https://arxiv.org/abs/2405.04221 |