Quantitative relative entropy estimates on the whole space for convolution interaction forces
P Nikolaev, DJ Prömel - arXiv preprint arXiv:2401.08938, 2024 - arxiv.org
Quantitative estimates are derived, on the whole space, for the relative entropy between the
joint law of random interacting particles and the tensorized law at the limiting systeme. The …
joint law of random interacting particles and the tensorized law at the limiting systeme. The …
Propagation of chaos for multi-species moderately interacting particle systems up to Newtonian singularity
We derive a class of multi-species aggregation-diffusion systems from stochastic interacting
particle systems via relative entropy method with quantitative bounds. We show an algebraic …
particle systems via relative entropy method with quantitative bounds. We show an algebraic …
Mean-Field Control for Diffusion Aggregation system with Coulomb Interaction
L Chen, Y Wang, Z Wang - arXiv preprint arXiv:2407.12936, 2024 - arxiv.org
The mean-field control problem for a multi-dimensional diffusion-aggregation system with
Coulomb interaction (the so called parabolic elliptic Keller-Segel system) is considered. The …
Coulomb interaction (the so called parabolic elliptic Keller-Segel system) is considered. The …