3 citations · 4 across the 10 of their papers we have counts for
6 papers · 1 filter
Lipschitz harmonic functions on vertex-transitive graphs
Gideon Amir, Guy Blachar, Maria Gerasimova +1
We prove that every locally finite vertex-transitive graph admits a non-constant Lipschitz harmonic function.
Local Hilbert--Schmidt stability
Francesco Fournier-Facio, Maria Gerasimova, Pieter Spaas
We introduce a notion of local Hilbert--Schmidt stability, motivated by the recent definition by Bradford of local permutation stability, and give examples of (non-residually finit…
A family of exotic group C*-algebras
Maria Gerasimova, Nicolas Monod
We show that a large family of groups without non-abelian free subgroups satisfy the following strengthening of non-amenability: they each have a rich supply of irreducible represe…
Stability of amalgamated free products and HNN extensions
Maria Gerasimova, Konstantin Shchepin
We study stability of amalgamated free products and HNN extensions of stable groups over finite groups. We focus on operator norm stability, Hilbert-Schmidt stability and stability…
Unitary -representations of almost automorphism groups
Antje Dabeler, Emilie Mai Elkiær, Maria Gerasimova +1
Let be a locally compact group with an open subgroup with the Kunze-Stein property, and let be a unitary representation of . We show that the representation $\wideti…
Probabilistic Laws on Infinite Groups
Gideon Amir, Guy Blachar, Maria Gerasimova +1
We study the probability that certain laws are satisfied on infinite groups, focusing on elements sampled by random walks. For several group laws, including the metabelian one, we…