5 citations · 12 across the 6 of their papers we have counts for
6 papers
Bilipschitz versus quasi-isometric equivalence for higher rank lamplighter groups
Tullia Dymarz, Irine Peng, Jennifer Taback
We describe a family of finitely presented groups which are quasi-isometric but not bilipschitz equivalent. The first such examples were described by the first author and are the l…
Coarse differentiation and quasi-isometries of a class of solvable Lie groups II
Irine Peng
In this paper, we continue with the results in \cite{Pg} and compute the group of quasi-isometries for a subclass of split solvable unimodular Lie groups. Consequently, we show tha…
Bilipschitz maps of boundaries of certain negatively curved homogeneous spaces
Tullia Dymarz, Irine Peng
In this paper we study certain groups of bilipschitz maps of the boundary minus a point of a negatively curved space that is an abelian-by-cyclic solvable Lie group, where the exte…
Assouad-Nagata dimension of connected Lie groups
J. Higes, I. Peng
We prove that the asymptotic Assouad-Nagata dimension of a connected Lie group equipped with a left-invariant Riemannian metric coincides with its topological dimension of $G/C…
On Freiman's Theorem in Nilpotent Groups
David Fisher, Nets Hawk Katz, Irine Peng
We generalize a result of Tao which extends Freiman's theorem to the Heisenberg group. We extend it to simply connected nilpotent Lie groups of arbitrary step.
Coarse differentiation and quasi-isometries of a class of solvable Lie groups I
Irine Peng
This is the first of two papers which aim to understand quasi-isometries of a subclass of unimodular split solvable Lie groups. In the present paper, we show that locally (in a coa…