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math.NT2026
Benjamini--Schramm convergence of arithmetic locally symmetric spaces
Mikołaj Frączyk, Sebastian Hurtado, Jean Raimbault
We prove that the thin parts of arithmetically defined locally symmetric space take up a negligible part of their volume and deduce asymptotic results on their Betti numbers.
math.GR2026
Invariant random subgroups in hyperbolic reflection groups
Jean Raimbault
We prove that the Fuchsian (4,4,4) triangle group and also right-angled reflection groups of hyperbolic spaces in higher dimensions admit ergodic invariant random subgroups having…