4 papers
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…
On growth of cocycles of isometric representations on -spaces
Antonio López Neumann, Juan Paucar
We study different notions of asymptotic growth for 1-cocycles of isometric representations on Banach spaces. One can see this as a way of quantifying the absence of fixed point pr…
Quantitative polynomial cohomology and applications to -measure equivalence
Antonio López Neumann, Juan Paucar
We introduce a quantitative version of polynomial cohomology for discrete groups and show that it coincides with usual group cohomology when combinatorial filling functions are pol…
Isoperimetric Profiles and Regular Embeddings of locally compact groups
Juan Paucar
In this article we extend the notion of -measure subgroups couplings, a quantitative asymmetric version of measure equivalence that was introduced by Delabie, Koivisto, Le MaÃ…