Non-escape of mass for arithmetic quantum limits on hyperbolic $4$-manifolds

Autor:	de Faveri, Alexandre, Shem-Tov, Zvi
Rok vydání:	2024
Předmět:	Mathematics - Number Theory Mathematics - Dynamical Systems 11F30 (Primary) 11F60 37A44 81Q50 58J51 (Secondary)
Druh dokumentu:	Working Paper
Popis:	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. Comment: 29 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2405.04221 Zobrazit plný text záznamu View this record from Arxiv