A trajectorial approach to relative entropy dissipation of McKean$-$Vlasov diffusions: gradient flows and HWBI inequalities

Bertram Tschiderer, Lane Chun Yeung

We formulate a trajectorial version of the relative entropy dissipation identity for McKean$-$Vlasov diffusions, extending the results of the papers [FJ16,KST20a], which apply to n…