3 papers
math.AP2025
Propagation of weak log-concavity along generalised heat flows via Hamilton-Jacobi equations
Louis-Pierre Chaintron, Giovanni Conforti, Katharina Eichinger
A well-known consequence of the Pr{é}kopa-Leindler inequality is the preservation of logconcavity by the heat semigroup. Unfortunately, this property does not hold for more genera…
math.PR2025
A coupling approach to Lipschitz transport maps
Giovanni Conforti, Katharina Eichinger
In this note, we propose a probabilistic approach to bound the (dimension-free) Lipschitz constant of the Langevin flow map on introduced by Kim and Milman (2012). A…
math.PR2024
The exponential turnpike phenomenon for mean field game systems: weakly monotone drifts and small interactions
Alekos Cecchin, Giovanni Conforti, Alain Durmus +1
This article aims at quantifying the long time behavior of solutions of mean field PDE systems arising in the theory of Mean Field Games and McKean-Vlasov control. Our main contrib…