3 citations · 3 across the 8 of their papers we have counts for
8 papers
Sparse Random Covers and Growth of Torsion in First Homology
Raz Slutsky
We construct random open covers of higher-rank locally symmetric spaces using a construction we call scaffolded Poisson processes. Let be a symmetric space of noncompact ty…
A Product-Neighbourhood Criterion for Fixed Price One
Raz Slutsky
We prove a flexible criterion for fixed price one, applying in particular to higher-rank lattices over local fields and automorphism groups of affine buildings, including lattices…
A Quantitative Selberg's Lemma
Tsachik Gelander, Raz Slutsky
We show that an arithmetic lattice in a semi-simple Lie group contains a torsion-free subgroup of index where is the co-volume of the lattice. We prove…
The Space of Traces of the Free Group and Free Products of Matrix Algebras
Joav Orovitz, Raz Slutsky, Itamar Vigdorovich
We show that the space of traces of the free group on generators is a Poulsen simplex, i.e., every trace is a pointwise limit of extreme traces. This f…
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…
On the Asymptotic Number of Generators of High Rank Arithmetic Lattices
Alexander Lubotzky, Raz Slutsky
Abert, Gelander and Nikolov [AGN17] conjectured that the number of generators of a lattice in a high rank simple Lie group grows sub-linearly with ,…
On the Minimal Size of a Generating Set of Lattices in Lie Groups
Tsachik Gelander, Raz Slutsky
We prove that the rank (that is, the minimal size of a generating set) of lattices in a general connected Lie group is bounded by the co-volume of the projection of the lattice to…
A Linear Variational Principle for Riemann Mappings and Discrete Conformality
Nadav Dym, Yaron Lipman, Raz Slutsky
We consider Riemann mappings from bounded Lipschitz domains in the plane to a triangle. We show that in this case the Riemann mapping has a linear variational principle: it is the…