81 citations · 433 across the 50 of their papers we have counts for
8 papers · 1 filter
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) $…
Characterizing a vertex-transitive graph by a large ball
Mikael de la Salle, Romain Tessera
It is well-known that a complete Riemannian manifold M which is locally isometric to a symmetric space is covered by a symmetric space. Here we prove that a discrete version of thi…
Integrable measure equivalence and the central extension of surface groups
Kajal Das, Romain Tessera
Let be a surface group of genus . It is known that the canonical central extension and the direct product are quasi-isometric. It…
Sharp quantitative nonembeddability of the Heisenberg group into superreflexive Banach spaces
Tim Austin, Assaf Naor, Romain Tessera
Let $\H$ denote the discrete Heisenberg group, equipped with a word metric associated to some finite symmetric generating set. We show that if is a -convex…
Metric sparsification and operator norm localization
Xiaoman Chen, Romain Tessera, Xianjin Wang +1
We study an operator norm localization property and its applications to the coarse Novikov conjecture in operator K-theory. A metric space X is said to have operator norm localizat…
Large scale Sobolev inequalities on metric measure spaces and applications
Romain Tessera
We introduce a notion of "gradient at a given scale" of functions defined on a metric measure space. We then use it to define Sobolev inequalities at large scale and we prove their…