2 papers
math.PR2026
A McKean--Vlasov semigroup and its application to a martingale representation problem
Mao Fabrice Djete, Mattia Martini
We introduce a McKean--Vlasov semigroup in the presence of common noise and study its first-order differential structure. Given a terminal functional , the semigroup is defined…
math.PR2026
Mean convergence rates for Gaussian-smoothed Wasserstein distances and classical Wasserstein distances
Andrea Cosso, Mattia Martini, Laura Perelli
We establish upper bounds for the expected -th power of the Gaussian-smoothed -Wasserstein distance between a probability measure and the corresponding empirical measure…