4 citations · 11 across the 6 of their papers we have counts for
7 papers
Dehn functions: computations, lower bounds, and the quasiisometric rigidity of
Ido Grayevsky, Gabriel Pallier
We establish distortion estimates in completely solvable Lie groups, using a sublinear bilipschitz retraction constructed by Cornulier, and interpolating between two theorems of Os…
Sublinear Bilipschitz Equivalence and the Quasiisometric Classification of Solvable Lie Groups
Ido Grayevsky, Gabriel Pallier
We prove a product theorem for sublinear bilipschitz equivalences which generalizes the classical work of Kapovich, Kleiner and Leeb on quasiisometries between product spaces. We e…
On the Dehn functions of central products of nilpotent groups
Jerónimo García-Mejía, Claudio Llosa Isenrich, Gabriel Pallier
We determine the Dehn functions of central products of two families of filiform nilpotent Lie groups of arbitrary dimension with all simply connected nilpotent Lie groups with cycl…
Sublinear biLipschitz equivalence and sublinearly Morse boundaries
Gabriel Pallier, Yulan Qing
A sublinear biLipschitz equivalence (SBE) between metric spaces is a map from one space to another that distorts distances with bounded multiplicative constants and sublinear addit…
Cone-equivalent nilpotent groups with different Dehn functions
Claudio Llosa Isenrich, Gabriel Pallier, Romain Tessera
For every , we exhibit a simply connected -nilpotent Lie group whose Dehn function behaves like , while the Dehn function of its associated Carnot grade…
Sublinear quasiconformality and the large-scale geometry of Heintze groups
Gabriel Pallier
This article analyzes sublinearly quasisymmetric homeo-morphisms (generalized quasisymmetric mappings), and draws applications to the sublinear large-scale geometry of negatively c…
Large-scale sublinearly Lipschitz geometry of hyperbolic spaces
Gabriel Pallier
Large-scale sublinearly Lipschitz maps have been introduced by Yves Cornulier in order to precisely state his theorems about asymptotic cones of Lie groups. In particular, Sublinea…