14 citations · 17 across the 6 of their papers we have counts for
3 papers · 1 filter
Universal bounds for fixed point iterations via optimal transport metrics
Mario Bravo, Thierry Champion, Roberto Cominetti
We present a self-contained analysis of a particular family of metrics over the set of non-negative integers. We show that these metrics, which are defined through a nested sequenc…
Continuity and estimates for multimarginal optimal transportation problems with singular costs
Giuseppe Buttazzo, Thierry Champion, Luigi De Pascale
We consider some repulsive multimarginal optimal transportation problems which include, as a particular case, the Coulomb cost. We prove a regularity property of the minimizers (op…
The \infty eigenvalue problem and a problem of optimal transportation
Thierry Champion, Luigi De Pascale, Chloé Jimenez
The so-called eigenvalues and eigenfunctions of the infinite Laplacian are defined through an asymptotic study of that of the usual -Laplacian , this brings to a…