10 citations · 19 across the 9 of their papers we have counts for
14 papers
Pattern preserving quasi-isometries in lamplighter groups and other related groups
Tullia Dymarz, Beibei Liu, Nataša Macura +1
In this paper we explore the interplay between aspects of the geometry and algebra of three families of groups of the form B semidirect the integers Z, namely Lamplighter groups, s…
A fibered Tukia theorem for nilpotent Lie groups
Tullia Dymarz, David Fisher, Xiangdong Xie
We establish a Tukia-type theorem for uniform quasiconformal groups of a Carnot group. More generally we establish a fiber bundle version (or foliated version) of Tukia theorem for…
A Tukia-type theorem for nilpotent Lie groups and quasi-isometric rigidity of solvable groups
Tullia Dymarz, David Fisher, Xiangdong Xie
In this paper we study uniform quasiconformal groups of Carnot-by-Carnot groups. We show that they can be conjugated into conformal groups provided the induced action on the space…
Separated Nets in Nilpotent Groups
Tullia Dymarz, Michael Kelly, Sean Li +1
In this paper we generalize several results on separated nets in Euclidean space to separated nets in connected simply connected nilpotent Lie groups. We show that every such group…
A matrix model for random nilpotent groups
Kelly Delp, Tullia Dymarz, Anschel Schaffer-Cohen
We study random torsion-free nilpotent groups generated by a pair of random words of length in the standard generating set of . Specifically, we give asympt…
Non-rectifiable Delone sets in SOL and other solvable groups
Tullia Dymarz, Andrés Navas
Given a lattice , we show that there is a coarsely dense subset that is not biLipschitz equivalent to . We also prove similar results for l…