60 citations · 208 across the 27 of their papers we have counts for
33 papers
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…
Spectral gap and origami expanders
Goulnara Arzhantseva, Dawid Kielak, Tim de Laat +1
We construct the first measure-preserving affine actions with spectral gap on surfaces of arbitrary genus . We achieve this by finding geometric representatives of multi-twi…
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…