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math.NT2026
Mass equidistribution for lifts on hyperbolic -manifolds
Alexandre de Faveri, Zvi Shem-Tov
This paper is part of a broader project to establish the quantum unique ergodicity conjecture for Hecke-Maass forms on arithmetic hyperbolic -manifolds. The conjecture is known…
math.NT2024
Non-escape of mass for arithmetic quantum limits on hyperbolic -manifolds
Alexandre de Faveri, Zvi Shem-Tov
We make progress on the quantum unique ergodicity (QUE) conjecture for Hecke-Maass forms on a congruence quotient of hyperbolic -space, eliminating the possibility of "escape of…
math.NT2024
Homogeneity of arithmetic quantum limits for hyperbolic -manifolds
Zvi Shem-Tov, Lior Silberman
We work toward the arithmetic quantum unique ergodicity (AQUE) conjecture for sequences of Hecke--Maass forms on hyperbolic -manifolds. We show that limits of such forms can onl…