68 citations · 75 across the 12 of their papers we have counts for
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math.FA2024
Gibbs principle with infinitely many constraints: optimality conditions and stability
Louis-Pierre Chaintron, Giovanni Conforti, Julien Reygner
We extend the Gibbs conditioning principle to an abstract setting combining infinitely many linear equality constraints and non-linear inequality constraints, which need not be con…
math.PR2024
Quasi-continuity method for mean-field diffusions: large deviations and central limit theorem
Louis-Pierre Chaintron
A pathwise large deviation principle in the Wasserstein topology and a pathwise central limit theorem are proved for the empirical measure of a mean-field system of interacting dif…
math.OC2024
Regularity and stability for the Gibbs conditioning principle on path space via McKean-Vlasov control
Louis-Pierre Chaintron, Giovanni Conforti
We consider a system of diffusion processes interacting through their empirical distribution. Assuming that the empirical average of a given observable can be observed at any time,…