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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…