7 citations · 12 across the 5 of their papers we have counts for
5 papers
New sharp Gagliardo-Nirenberg-Sobolev inequalities and an improved Borell-Brascamp-Lieb inequality
François Bolley, Dario Cordero-Erausquin, Yasuhiro Fujita +2
We propose a new Borell-Brascamp-Lieb inequality which leads to novel sharp Euclidean inequalities such as Gagliardo-Nirenberg-Sobolev inequalities in R^n and in the half-space R^n…
Optimal coupling for mean field limits
François Bolley
We review recent quantitative results on the approximation of mean field diffusion equations by large systems of interacting particles, obtained by optimal coupling methods. These…
Weighted Nash Inequalities
Dominique Bakry, François Bolley, Ivan Gentil +1
Nash or Sobolev inequalities are known to be equivalent to ultracontractive properties of Markov semigroups, hence to uniform bounds on their kernel densities. In this work we pres…
Quantitative concentration inequalities on sample path space for mean field interaction
François Bolley
We consider a system of particles experiencing diffusion and mean field interaction, and study its behaviour when the number of particles goes to infinity. We derive non-asymptotic…
Concentration inequalities on product spaces with applications to Markov processes
Gordon Blower, François Bolley
For a stochastic process with state space some Polish space, this paper gives sufficient conditions on the initial and conditional distributions for the joint law to satisfy Gaussi…