activity
20182026
collaborators

5 papers

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…

math.RT2020

Positive entropy using Hecke operators at a single place

Zvi Shem-Tov

We prove the following statement: Let , and consider the standard action of the diagonal group $A<\text{SL}_n(\mathbb{R…

math.CO2018

Expanding polynomials: A generalization of the Elekes-Rónyai theorem to variables

Orit E. Raz, Zvi Shem Tov

We prove the following statement. Let , for some , and assume that depends non-trivially in each of . Then one of the fo…