2 papers
math.PR2026
Mean-field theory via dissociated arrays for particle systems interacting through noisy weights
Nicolas Fournier, Datong Zhou
We study a mean-field limit for a -particle system in which each particle follows a diffusion and interacts with other particles through a weight on each directed edge. Each wei…
math.PR2025
Dense networks of integrate-and-fire neurons: Spatially-extended mean-field limit of the empirical measure
Pierre-Emmanuel Jabin, Valentin Schmutz, Datong Zhou
The dynamics of spatially-structured networks of interacting stochastic neurons can be described by deterministic population equations in the mean-field limit. While this is kn…