Quantum Ergodicity for compact quotients of \rm SL_d(ℝ)/\rm SO(d) in the Benjamini-Schramm limit

2020/09/13 by Farrell Brumley, Brumley, Farrell, Jasmin Matz +1
Mathematics · #11F72 #37D40 #58J51 #Advanced Algebra and Geometry #Analytic Number Theory Research #FOS: Mathematics #FOS: Physical sciences #Limits and Structures in Graph Theory #Mathematical Physics (math-ph) #Number Theory (math.NT) #Spectral Theory (math.SP)

paper · pdf · doi:10.48550/arxiv.2009.05979

openalex publication_date 2020/09/13 · openalex created_date 2020/09/21 · openalex updated_date 2026/07/28

Abstract

We study the limiting behavior of Maass forms on Benjamini-Schramm convergent sequences of compact quotients of \rm SL_d(ℝ)/\rm SO(d), d≥ 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.

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