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QUANTUM ERGODICITY FOR COMPACT QUOTIENTS OF 
$\operatorname {SL}_d({\mathbb R})/\textrm {SO}(d)$ IN THE BENJAMINI–SCHRAMM LIMIT
Part of:
Discontinuous groups and automorphic forms
Partial differential equations on manifolds; differential operators
Published online by Cambridge University Press: 13 December 2021
Abstract
We study the limiting behavior of Maass forms on sequences of large-volume compact quotients of 
$\operatorname {SL}_d({\mathbb R})/\textrm {SO}(d)$, 
$d\ge 3$, 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.
MSC classification
- Type
- Research Article
- Information
- Journal of the Institute of Mathematics of Jussieu , Volume 22 , Issue 5 , September 2023 , pp. 2075 - 2115
- Copyright
- © The Author(s), 2021. Published by Cambridge University Press
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