60 citations · 208 across the 27 of their papers we have counts for
3 papers · 1 filter
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…
A characterization for asymptotic dimension growth
Goulnara Arzhantseva, Graham A. Niblo, Nick Wright +1
We give a characterization for asymptotic dimension growth. We apply it to CAT(0) cube complexes of finite dimension, giving an alternative proof of N. Wright's result on their fin…
Characterizations of Morse quasi-geodesics via superlinear divergence and sublinear contraction
Goulnara N. Arzhantseva, Christopher H. Cashen, Dominik Gruber +1
We introduce and begin a systematic study of sublinearly contracting projections. We give two characterizations of Morse quasi-geodesics in an arbitrary geodesic metric space. One…