22 citations · 60 across the 9 of their papers we have counts for
20 papers
Distortion in Cremona groups
Serge Cantat, Yves Cornulier
We study distortion of elements in two-dimensional Cremona groups over algebraically closed fields of characteristic zero. Namely, we obtain the following trichotomy: non-elliptic…
Commensurating actions of birational groups and groups of pseudo-automorphisms
Serge Cantat, Yves de Cornulier
Pseudo-automorphisms are birational transformations acting as regular automorphisms in codimension 1. We import ideas from geometric group theory to prove that a group of birationa…
On sublinear bilipschitz equivalence of groups
Yves Cornulier
We discuss the notion of sublinearly bilipschitz equivalences (SBE), which generalize quasi-isometries, allowing some additional terms that behave sublinearly with respect to the d…
On lengths on semisimple groups
Yves de Cornulier
We prove that every length on a simple group over a locally compact field, is either bounded or proper.
Nilpotent Lie algebras and systolic growth of nilmanifolds
Yves Cornulier
Introduced by Gromov in the nineties, the systolic growth of a Lie group gives the smallest possible covolume of a lattice with a given systole. In a simply connected nilpotent Lie…
Systolic growth of linear groups
Khalid Bou-Rabee, Yves Cornulier
We prove that the residual girth of any finitely generated linear group is at most exponential. This means that the smallest finite quotient in which the -ball injects has at mo…