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math.GR2019★ 6 cited
Separation profiles, isoperimetry, growth and compression
Corentin Le Coz, Antoine Gournay
We give lower and upper bounds for the separation profile (introduced by Benjamini, Schramm & Timár) for various graphs using the isoperimetric profile, growth and Hilbertian compr…
math.GR2012
Vanishing of -cohomology and transportation cost
Antoine Gournay
In this paper, it is shown that the reduced -cohomology is trivial for a class of finitely generated amenable groups called transport amenable. These groups are those for w…