This document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties.Dieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden.Erbar, MatthiasFathi, MaxLaschos, VaiosSchlichting, André2016-12-132019-06-2820162198-5855https://doi.org/10.34657/2467https://oa.tib.eu/renate/handle/123456789/1643In this work, we show that a family of non-linear mean-field equations on discrete spaces, can be viewed as a gradient flow of a natural free energy functional with respect to a certain metric structure we make explicit. We also prove that this gradient flow structure arises as the limit of the gradient flow structures of a natural sequence of N-particle dynamics, as N goes to infinity.application/pdfeng510Gradient flow structureweakly interacting particles systemsnonlinear Markov chainsmeanfield limitevolutionary Gamma-convergencetransportation metricsReport