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math.CA2010
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…
math.PR2010★ 4 cited
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…