Quantum Unique Ergodicity for Eisenstein Series on Bruhat-Tits Buildings
arXiv:2303.09327 · doi:10.1016/j.jnt.2024.09.009
Abstract
We prove the quantum unique ergodicity conjecture for Eisenstein series over function fields in the level aspect. Adapting the machinery of Luo-Sarnak (1995), we employ the spectral decomposition and handle the cuspidal and Eisenstein contributions separately.
15 pages