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

Farrell Brumley; Jasmin Matz

doi:10.1017/S147474802100058X

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

Farrell Brumley, Jasmin Matz

Department of Mathematical Sciences

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Abstract

We study the limiting behavior of Maass forms on sequences of large-volume compact quotients of SLd(R)/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.

Original language	English
Journal	Journal of the Institute of Mathematics of Jussieu
Volume	22
Issue number	5
Pages (from-to)	2075–2115
ISSN	1474-7480
DOIs	https://doi.org/10.1017/S147474802100058X
Publication status	Published - 2023

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10.1017/S147474802100058X

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Cite this

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abstract = "We study the limiting behavior of Maass forms on sequences of large-volume compact quotients of SLd(R)/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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AU - Matz, Jasmin

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AB - We study the limiting behavior of Maass forms on sequences of large-volume compact quotients of SLd(R)/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.

U2 - 10.1017/S147474802100058X

DO - 10.1017/S147474802100058X

M3 - Journal article

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SP - 2075

EP - 2115

JO - Journal of the Institute of Mathematics of Jussieu

JF - Journal of the Institute of Mathematics of Jussieu

SN - 1474-7480

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