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math.AP2026
Derivation of 2D Vlasov-Poisson for classical particles with Coulomb interactions
Mitia Duerinckx, Pierre-Emmanuel Jabin
We obtain the first derivation of the 2D Vlasov-Poisson equation for classical particles with Coulomb interactions without any microscopic cutoff. The proof relies on our recent du…
math.AP2026
Singular mean-field limits for fluctuations around equilibrium
Mitia Duerinckx, Pierre-Emmanuel Jabin
This work addresses the mean-field limit of inertial particle systems with singular interactions in a perturbative regime around Gibbs equilibrium. We prove that small fluctuations…
math.AP2026
Quantitative Estimates for Mean-Field Limits and Correlation Functions through a Duality Framework
Nadia Khoury, Pierre-Emmanuel Jabin
We investigate the mean-field limit for interacting particle systems through a duality-based framework and obtain quantitative estimates on the convergence of marginals as well as…