3 papers
math.GR2025
Measure equivalence and sofic approximations
Thiebout Delabie, Juhani Koivisto, Romain Tessera
We introduce a technique for producing a measure coupling between two sofic groups from a family of maps between their sofic approximations. We exploit this to construct measure co…
math.GR2024
On the stability of hyperbolicity under quantitative measure equivalence
Thiebout Delabie, Juhani Koivisto, François Le Maître +1
A well-known result of Shalom says that lattices in SO are measure equivalent for all . His proof actually yields the following stronger statement: the…
math.MG2014
Characterising Sobolev inequalities by controlled coarse homology and applications for hyperbolic spaces
Juhani Koivisto
We give a Sobolev inequality characterisation for the vanishing of a fundamental class in the controlled coarse homology of Nowak and Spakula for quasiconvex uniform spaces that su…