1 results
Search Results
Now showing 1 - 1 of 1
- ItemGradient flow structure for McKean-Vlasov equations on discrete spaces(Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik, 2016) Erbar, Matthias; Fathi, Max; Laschos, Vaios; Schlichting, AndréIn 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.