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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
Thermalization And Convergence To Equilibrium Of The Noisy Voter Model
Enzo Aljovin, Milton Jara, Yangrui Xiang
We investigate the convergence towards equilibrium of the noisy voter model, evolving in the complete graph with n vertices. The noisy voter model is a version of the voter model,…
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…