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

2024/05/07 by Alexandre de Faveri, de Faveri, Alexandre, Zvi Shem‐Tov +1
Mathematics · #Geometry and complex manifolds #Mathematical Dynamics and Fractals #Geometric Analysis and Curvature Flows

paper · pdf · doi:10.48550/arxiv.2405.04221

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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