1 citations · 1 across the 7 of their papers we have counts for
7 papers
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…
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…
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…
Arithmetic quantum unique ergodicity for products of hyperbolic - and -spaces
Zvi Shem-Tov, Lior Silberman
We prove the arithemtic quantum unique ergodicity (AQUE) conjecture for sequences of Hecke--Maass forms on quotients .…
Norm rigidity for arithmetic and profinite groups
Leonid Polterovich, Yehuda Shalom, Zvi Shem-Tov
Let be a commutative ring, and assume every non-trivial ideal of has finite-index. We show that if has bounded elementary generation then every conjugation…
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…
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…