2 papers
math.AP2026
Quantitative propagation of chaos for 2D stochastic vortex model on the whole space under moderate interactions
Alexandre B. de Souza
We derive the stochastic 2D vortex model on the whole Euclidean space from moderately interacting particle systems driven by individual and environmental noises, obtaining quantita…
math.PR2024
Quantitative particle approximation of nonlinear stochastic Fokker-Planck equations with singular kernel
Josué Knorst, Christian Olivera, Alexandre B. de Souza
We derive quantitative estimates for large stochastic systems of interacting particles perturbed by both idiosyncratic and environmental noises, as well as singular kernels. We pro…