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arXiv · 2405.04221

Non-escape of mass for arithmetic quantum limits on hyperbolic $4$-manifolds

Alexandre de Faveri·Zvi Shem-Tov
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Abstract

We make progress on the quantum unique ergodicity (QUE) conjecture for Hecke-Maass forms on a congruence quotient of hyperbolic $4$-space, eliminating the possibility of "escape of mass" for these forms.

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Alexandre de Faveri, Zvi Shem-Tov. 2024-05-07. Non-escape of mass for arithmetic quantum limits on hyperbolic $4$-manifolds. https://arxiv.org/abs/2405.04221

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