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math.GR2025
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…
math.GR2024
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…