Arithmetic quantum unique ergodicity for products of hyperbolic $2$- and $3$-spaces
Fuente:
arXiv
Salvato in:
| Autori principali: | , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2022
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866916582097158144 |
|---|---|
| author | Shem-Tov, Zvi Silberman, Lior |
| author_facet | Shem-Tov, Zvi Silberman, Lior |
| contents | We prove the arithemtic quantum unique ergodicity (AQUE) conjecture for sequences of Hecke--Maass forms on quotients $Γ\backslash (\mathbb{H}^{(2)})^r \times (\mathbb{H}^{(3)})^s$. An argument by induction on dimension of the orbit allows us to rule out the limit measure concentrating on closed orbits of proper subgroups despite many returns of the Hecke correspondence to neighborhoods of the orbit. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2206_05955 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Arithmetic quantum unique ergodicity for products of hyperbolic $2$- and $3$-spaces Shem-Tov, Zvi Silberman, Lior Dynamical Systems Number Theory 11F41, 37A45 We prove the arithemtic quantum unique ergodicity (AQUE) conjecture for sequences of Hecke--Maass forms on quotients $Γ\backslash (\mathbb{H}^{(2)})^r \times (\mathbb{H}^{(3)})^s$. An argument by induction on dimension of the orbit allows us to rule out the limit measure concentrating on closed orbits of proper subgroups despite many returns of the Hecke correspondence to neighborhoods of the orbit. |
| title | Arithmetic quantum unique ergodicity for products of hyperbolic $2$- and $3$-spaces |
| topic | Dynamical Systems Number Theory 11F41, 37A45 |
| url | https://arxiv.org/abs/2206.05955 |