Special Session 17: New developments on nonlinear expectations

Sequential propagation of chaos: theory and algorithms
Kai Du
Fudan University
Peoples Rep of China
Co-Author(s):    
Abstract:
A new class of particle systems with sequential interaction is proposed to approximate the McKean-Vlasov process that originally arises as the limit of the mean-field interacting particle system. The weighted empirical measure of this particle system is proved to converge to the law of the McKean-Vlasov process as the system grows. Numerical experiments are implemented to demonstrate the theoretical results.