36 citations · 241 across the 42 of their papers we have counts for
6 papers · 1 filter
On the size of chaos via Glauber calculus in the classical mean-field dynamics
Mitia Duerinckx
We consider a system of classical particles, interacting via a smooth, long-range potential, in the mean-field regime, and we optimally analyze the propagation of chaos in form of…
Lenard-Balescu correction to mean-field theory
Mitia Duerinckx, Laure Saint-Raymond
In the mean-field regime, the evolution of a gas of interacting particles is governed in first approximation by a Vlasov type equation with a self-induced force field. This equ…
Scaling limit of the homogenization commutator for Gaussian coefficient fields
Mitia Duerinckx, Julian Fischer, Antoine Gloria
Consider a linear elliptic partial differential equation in divergence form with a random coefficient field. The solution operator displays fluctuations around its expectation. The…
Corrector equations in fluid mechanics: Effective viscosity of colloidal suspensions
Mitia Duerinckx, Antoine Gloria
Consider a colloidal suspension of rigid particles in a steady Stokes flow. In a celebrated work, Einstein argued that in the regime of dilute particles the system behaves at leadi…
A remark on a surprising result by Bourgain in homogenization
Mitia Duerinckx, Antoine Gloria, Marius Lemm
In a recent work, Bourgain gave a fine description of the expectation of solutions of discrete linear elliptic equations on with random coefficients in a perturbative…
Higher-order pathwise theory of fluctuations in stochastic homogenization
Mitia Duerinckx, Felix Otto
We consider linear elliptic equations in divergence form with stationary random coefficients of integrable correlations. We characterize the fluctuations of a macroscopic observabl…