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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…