3 papers
math.PR2025
Non-exchangeable mean-field theory for adaptive weights: propagation of dissociatedness and graphon sampling lemma
Datong Zhou
We develop a mean-field theory for large, non-exchangeable particle (agent) systems where the states and interaction weights co-evolve in a coupled system of SDEs. A first main res…
math.AP2025
Coupling and Tensorization of Kinetic Theory and Graph Theory
Datong Zhou
We study a non-exchangeable multi-agent system and rigorously derive a strong form of the mean-field limit. The convergence of the connection weights and the initial data implies c…
math.AP2025
A deterministic particle method for the porous media equation
Amina Amassad, Datong Zhou
This paper deals with the deterministic particle method for the equation of porous media (with p = 2). We establish a convergence rate in the Wasserstein-2 distance between the app…