Zvi Shem-Tov

activity

20242026

collaborators

4 papers

math.NT2026

Mass equidistribution for lifts on hyperbolic $4$ -manifolds

Alexandre de Faveri, Zvi Shem-Tov

We prove the quantum unique ergodicity (QUE) conjecture of Rudnick and Sarnak for the sequence of Pitale lifts, which are Hecke-Maass forms on a congruence quotient of $\mathbb{H}^…

math.GR2025

Norm rigidity for arithmetic and profinite groups

Leonid Polterovich, Yehuda Shalom, Zvi Shem-Tov

Let $A$ be a commutative ring, and assume every non-trivial ideal of $A$ has finite-index. We show that if $SL_{n} (A)$ has bounded elementary generation then every conjugation…

math.DS2025

Arithmetic quantum unique ergodicity for products of hyperbolic $2$ - and $3$ -spaces

Zvi Shem-Tov, Lior Silberman

We prove the arithemtic quantum unique ergodicity (AQUE) conjecture for sequences of Hecke--Maass forms on quotients $I^\ (H^{(2)})^{r} \times (H^{(3)})^{s}$ …

math.NT2024

Non-escape of mass for arithmetic quantum limits on hyperbolic $4$ -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 $4$ -space, eliminating the possibility of "escape of…

Mass equidistribution for lifts on hyperbolic 4-manifolds

Norm rigidity for arithmetic and profinite groups

Arithmetic quantum unique ergodicity for products of hyperbolic 2- and 3-spaces

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

Mass equidistribution for lifts on hyperbolic $4$ -manifolds

Arithmetic quantum unique ergodicity for products of hyperbolic $2$ - and $3$ -spaces

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