3 citations · 4 across the 10 of their papers we have counts for
11 papers
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…
Fire retainment on Cayley graphs
Gideon Amir, Rangel Baldasso, Maria Gerasimova +1
We study the fire-retaining problem on groups, a quasi-isometry invariant introduced by Martínez-Pedroza and Prytula [8], related to the firefighter problem. We prove that any Cayl…
Virtually free groups are -Schatten stable
Maria Gerasimova, Konstantin Shchepin
In this note we prove that finitely generated virtually free groups are stable with respect to a normalized -Schatten norm for . In particular, this implies th…
On invertible elements in reduced -algebras of acylindrically hyperbolic groups
M. Gerasimova, D. Osin
Let be an acylindrically hyperbolic group. We prove that if has no non-trivial finite normal subgroups, then the set of invertible elements is dense in the reduced …
On the isometrisability of group actions on p-spaces
Maria Gerasimova, Andreas Thom
In this note we consider a -isometrisability property of discrete groups. If this property is equivalent to unitarisability. We prove that any group containing a non-abeli…
Asymptotics of Cheeger constants and unitarisability of groups
Maria Gerasimova, Dominik Gruber, Nicolas Monod +1
Given a group , we establish a connection between the unitarisability of its uniformly bounded representations and the asymptotic behaviour of the isoperimetric constants of Cay…