Local Stability of McKean–Vlasov Equations Arising from Heterogeneous Gibbs Systems Using Limit of Relative Entropies

A family of heterogeneous mean-field systems with jumps is analyzed. These systems are constructed as a Gibbs measure on block graphs. When the total number of particles goes to infinity, the law of large numbers is shown to hold in a multi-class context, resulting in the weak convergence of the emp...

Full description

Bibliographic Details
Main Authors: Donald A. Dawson, Ahmed Sid-Ali, Yiqiang Q. Zhao
Format: Article
Language:English
Published: MDPI AG 2021-10-01
Series:Entropy
Subjects:
Online Access:https://www.mdpi.com/1099-4300/23/11/1407