60 citations · 208 across the 27 of their papers we have counts for
30 papers · 1 filter
Lacunary hyperbolic groups with fast injectivity radius growth and enough loxodromic elements are selfless
Goulnara Arzhantseva, Martin Finn-Sell
We prove that a lacunary hyperbolic group with sufficient generics is selfless in the sense of Amrutam--Gao--Kunnawalkam Elayavalli--Patchell, provided the hyp…
Constraint stability in permutations and action traces
Goulnara Arzhantseva, Liviu Paunescu
An action trace is a function naturally associated to a probability measure preserving action of a group on a standard probability space. For countable amenable groups, we characte…
Quantifying metric approximations of discrete groups
Goulnara Arzhantseva, Pierre-Alain Cherix
We introduce and systematically study a profile function whose asymptotic behavior quantifies the dimension or the size of a metric approximation of a finitely generated group …
Logarithmic girth expander graphs of
Goulnara Arzhantseva, Arindam Biswas
We provide an explicit construction of finite 4-regular graphs with as and for…
Cogrowth for group actions with strongly contracting elements
Goulnara N. Arzhantseva, Christopher H. Cashen
Let be a group acting properly by isometries and with a strongly contracting element on a geodesic metric space. Let be an infinite normal subgroup of , and let an…
Unrestricted wreath products and sofic groups
Goulnara Arzhantseva, Federico Berlai, Martin Finn-Sell +1
We show that the unrestricted wreath product of a sofic group by an amenable group is sofic. We use this result to present an alternative proof of the known fact that any group ext…