3 papers
math.GR2026
Obstructions for quantitative measure equivalence between locally compact groups
Corentin Correia, Juan Paucar
Given a measure equivalence coupling between two finitely generated groups, Delabie, Koivisto, Le Maître and Tessera have found explicit upper bounds on how integrable the associa…
math.GR2026
Isoperimetric profiles of lamplighter-like groups
Corentin Correia, Vincent Dumoncel
Given a finitely generated amenable group satisfying some mild assumptions, we relate isoperimetric profiles of the lampshuffler group $\mathsf{Shuffler}(H)=\mathsf{FSym}(H)\rt…
math.GR2025
On the absence of quantitatively critical measure equivalence couplings
Corentin Correia
Given a measure equivalence coupling between two finitely generated groups, Delabie, Koivisto, Le Maître and Tessera have found explicit upper bounds on how integrable the associa…