103 citations · 159 across the 6 of their papers we have counts for
6 papers
Hegselmann--Krause model with environmental noise
Li Chen, Paul Nikolaev, David J. Prömel
We study a continuous-time version of the Hegselmann-Krause model describing the opinion dynamics of interacting agents subject to random perturbations. Mathematically speaking, th…
Convergence towards the Vlasov-Poisson Equation from the -Fermionic Schrödinger Equation
Li Chen, Jinyeop Lee, Matthew Liew
We consider the quantum dynamics of interacting fermions in the large limit. The particles in the system interact with each other via repulsive interaction that is regulari…
Combined mean-field and semiclassical limits of large fermionic systems
Li Chen, Jinyeop Lee, Matthew Liew
We study the time dependent Schrödinger equation for large spinless fermions with the semiclassical scale in three dimensions. By using the Husimi measure define…
Rate of Convergence towards Hartree Dynamics with Singular Interaction Potential
Li Chen, Ji Oon Lee, Jinyeop Lee
We consider a system of -Bosons with a two-body interaction potential , possibly singular than the Coulomb interaction. We show t…
Rate of Convergence Towards Hartree Dynamics
Li Chen, Ji Oon Lee, Benjamin Schlein
We consider a system of N bosons interacting through a two-body potential with, possibly, Coulomb-type singularities. We show that the difference between the many-body Schrödinger…
Rate of Convergence in Nonlinear Hartree Dynamics with Factorized Initial Data
Li Chen, Ji Oon Lee
The mean field dynamics of an -particle weekly interacting Boson system can be described by the nonlinear Hartree equation. In this paper, we present estimates on the 1/N rate o…