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Bibliographic Details
Main Authors:	Brumley, Farrell, Marshall, Simon, Matz, Jasmin, Peterson, Carsten
Format:	Preprint
Published:	2026
Subjects:	Spectral Theory Mathematical Physics Number Theory Representation Theory 58J51, 11F72, 37D40, 43A90, 53C35
Online Access:	https://arxiv.org/abs/2604.01075
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We prove that for almost all symmetric spaces $X$ and for any sequence of compact locally symmetric spaces $Y_n$ which is uniformly discrete, has a uniform spectral gap, and converges in the sense of Benjamini--Schramm to $X$, the joint eigenfunctions of all invariant differential operators on $Y_n$ delocalize on average when their spectral parameters are taken to lie in a fixed spectral window.