3 papers
math.DS2026
Ends of stationary metric measure spaces
Arie Levit, Kfir Silman
We prove that stationary random metric measure spaces have 0,1,2 or a Cantor space of ends. This notion includes stationary random graphs, manifolds and discrete subgroups. In the…
math.GR2025
Non-uniform higher-rank lattices are character rigid
Alon Dogon, Michael Glasner, Yuval Gorfine +2
We establish character rigidity for all non-uniform higher-rank irreducible lattices in semisimple groups of characteristic other than 2. This implies stabilizer rigidity for proba…
math.GR2025
Characters of diagonal products and Hilbert-Schmidt stability
Alon Dogon, Arie Levit, Itamar Vigdorovich
We initiate a quantitative study of Hilbert-Schmidt stability for infinitely presented groups through the novel notion of stability radius growth. We exhibit an uncountable family…