Quantum Ergodicity for compact quotients of ${\rm SL}_d(\mathbb{R})/{\rm SO}(d)$ in the Benjamini-Schramm limit
Spectral Theory
2020-10-09 v2 Mathematical Physics
math.MP
Number Theory
Abstract
We study the limiting behavior of Maass forms on Benjamini-Schramm convergent sequences of compact quotients of , , whose spectral parameter stays in a fixed window. We prove a form of Quantum Ergodicity in this level aspect which extends results of Le Masson and Sahlsten to the higher rank case.
Keywords
Cite
@article{arxiv.2009.05979,
title = {Quantum Ergodicity for compact quotients of ${\rm SL}_d(\mathbb{R})/{\rm SO}(d)$ in the Benjamini-Schramm limit},
author = {Farrell Brumley and Jasmin Matz},
journal= {arXiv preprint arXiv:2009.05979},
year = {2020}
}