2 papers
math.PR2026
Scaling limits of Smoluchowski particles
Julian Amorim, Arturo Arellano, Milton Jara
We prove a law of large numbers and a functional central limit theorem for the empirical density of a Marcus-Lushnikov model. The limiting density turns out to be the solution of a…
math.PR2024
Quantitative hydrodynamics for a generalized contact model
Julian Amorim, Milton Jara, Yangrui Xiang
We derive a quantitative version of the hydrodynamic limit for an interacting particle system inspired by integrate-and-fire neuron models. More precisely, we show that the -s…