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math.GR2020
Poincaré profiles of lamplighter diagonal products
Corentin Le Coz
We exhibit finitely generated groups with prescribed Poincaré profiles. It can be prescribed for functions between and linear, and is sharp for functions at least $n/(\l…
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…