Quantum Ergodicity for compact quotients of ${\rm SL}_d(\mathbb{R})/{\rm SO}(d)$ in the Benjamini-Schramm limit

Farrell Brumley; Jasmin Matz

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arXiv · 2009.05979

Quantum Ergodicity for compact quotients of ${\rm SL}_d(\mathbb{R})/{\rm SO}(d)$ in the Benjamini-Schramm limit

Farrell Brumley·Jasmin Matz

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Abstract

We study the limiting behavior of Maass forms on Benjamini-Schramm convergent sequences of compact quotients of ${\rm SL}_d(\mathbb{R})/{\rm SO}(d)$, $d\ge 3$, 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.

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BibTeX RIS

Farrell Brumley, Jasmin Matz. 2020-09-13. Quantum Ergodicity for compact quotients of ${\rm SL}_d(\mathbb{R})/{\rm SO}(d)$ in the Benjamini-Schramm limit. https://arxiv.org/abs/2009.05979

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