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

Institut for Matematiske Fag

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › peer review

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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.

Originalsprog	Engelsk
Tidsskrift	Journal of the Institute of Mathematics of Jussieu
Vol/bind	22
Udgave nummer	5
Sider (fra-til)	2075–2115
ISSN	1474-7480
DOI	https://doi.org/10.1017/S147474802100058X
Status	Udgivet - 2023

Adgang til dokumentet

10.1017/S147474802100058X

FulltextIndsendt manuskript, 665 KBLicens: CC BY

Citationsformater

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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.

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DO - 10.1017/S147474802100058X

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JO - Journal of the Institute of Mathematics of Jussieu

JF - Journal of the Institute of Mathematics of Jussieu

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