13 citations · 23 across the 13 of their papers we have counts for
18 papers
Topology and dynamics of unimodular random hyperbolic manifolds
Ilya Gekhtman, Nir Lazarovich, Arie Levit +1
We investigate the relationship between the space of ends of a unimodular random hyperbolic manifold and the dynamics of its geodesic flow. We show that having two ends of infinite…
Spectral gap for products and a strong normal subgroup theorem
Uri Bader, Tsachik Gelander, Arie Levit
We establish a general spectral gap theorem for actions of products of groups which may replace Kazhdan's property (T) in various situations. As a main application, we prove that a…
Spectral gap and character limits in arithmetic groups
Arie Levit, Raz Slutsky, Itamar Vigdorovich
We establish vanishing results for limits of characters in various discrete groups, most notably irreducible lattices in higher rank semisimple Lie groups. As an application, we sh…
Stationary random subgroups in negative curvature
Ilya Gekhtman, Arie Levit
We show that discrete stationary random subgroups of isometry groups of Gromov hyperbolic spaces have full limit sets as well as critical exponents bounded from below. This informa…
Characters of solvable groups, Hilbert-Schmidt stability and dense periodic measures
Arie Levit, Itamar Vigdorovich
We study the character theory of metabelian and polycyclic groups. It is used to investigate Hilbert-Schmidt stability via the character-theoretic criterion of Hadwin and Shulman.…
Effective discreteness radius of stabilisers for stationary actions
Tsachik Gelander, Arie Levit, Gregory Margulis
We prove an effective variant of the Kazhdan-Margulis theorem generalized to stationary actions of semisimple groups over local fields: the probability that the stabilizer of a ran…