81 citations · 433 across the 50 of their papers we have counts for
59 papers
Asymptotic dimension for covers with controlled growth
David Hume, John M. Mackay, Romain Tessera
We prove various obstructions to the existence of regular maps (or coarse embeddings) between commonly studied spaces. For instance, there is no regular map (or coarse embedding) $…
Coarse fixed point properties
Romain Tessera, Jeroen Winkel
We investigate fixed point properties for isometric actions of topological groups on a wide class of metric spaces, with a particular emphasis on Hilbert spaces. Instead of requiri…
Geometric amenability in totally disconnected locally compact groups
Romain Tessera, Matthew Tointon
We give a short geometric proof of a result of Soardi & Woess and Salvatori that a quasitransitive graph is amenable if and only if its automorphism group is amenable and unimodula…
Twin-width VII: groups
Édouard Bonnet, Colin Geniet, Romain Tessera +1
Twin-width is a recently introduced graph parameter with applications in algorithmics, combinatorics, and finite model theory. For graphs of bounded degree, finiteness of twin-widt…
Belinskaya's theorem is optimal
Alessandro Carderi, Matthieu Joseph, François Le Maître +1
Belinskaya's theorem states that given an ergodic measure-preserving transformation, any other transformation with the same orbits and an cocycle must be flip-conjug…
A note on morphisms to wreath products
Anthony Genevois, Romain Tessera
Given a morphism from a finitely presented group to a wreath product , we show that, if the image of is a sufficiently large subgroup, then $\ma…