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math.GR2026
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…
math.GR2026
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…
math.GR2024
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…