Optimal coupling for mean field limits

zbMATH Open1341.82051arXiv1009.3855MaRDI QIDQ3464639

François Bolley

Publication date: 27 January 2016

Abstract: We review recent quantitative results on the approximation of mean field diffusion equations by large systems of interacting particles, obtained by optimal coupling methods. These results concern a larger range of models, more precise senses of convergence and links with the long time behaviour of the systems to be considered.

Full work available at URL: https://arxiv.org/abs/1009.3855

zbMATH Keywords

concentration inequalitiestransportation inequalities

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Interacting particle systems in time-dependent statistical mechanics (82C22)

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