2 papers
math.AP2024
Uniform-in-Time Estimates on the Size of Chaos for Interacting Particle Systems
Pengzhi Xie
For any weakly interacting particle system with bounded kernel, we give uniform-in-time estimates of the norm of correlation functions, provided that the diffusion coefficien…
math.AP2024
Uniform-in-time propagation of chaos for second order interacting particle systems
Yun Gong, Zhenfu Wang, Pengzhi Xie
We study the long time behavior of second order particle systems interacting through global Lipschitz kernels. Combining hypocoercivity method in [37] and relative entropy method i…