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Wednesday, January 13, 2021 - 14:00 in ZOOM - Video Conference


Mean-Field Limit and Quantitative Estimates with Singular Attractive Kernels

A talk in the Bielefeld Stochastic Afternoon series by
Zhenfu Wang from Peking University

Abstract: We study the mean field limit and quantitative estimates for many-particle systems with singular attractive interactions between particles. As an important example, a full rigorous derivation (with quantitative estimates) of the Patlak-Keller-Segel model in optimal subcritical regimes is obtained for the first time. To give an answer to this longstanding problem, we take advantage of a new modulated free energy and we prove some precise large deviation estimates encoding the competition between diffusion and attraction. Joint work with D. Bresch and P.-E. Jabin.

Please contact stochana@math.uni-bielefeld.de for Meeting-ID and Password.



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