4 papers · 1 filter
Cutoff profiles and boundary effects in the Togashi-Kaneko model of autocatalytic reactions with weak mutations
Yangrui Xiang, Wasiur R. KhudaBukhsh
We determine explicit bulk and worst-case total variation cutoff profiles for the configuration law of a two-species Togashi--Kaneko model with a fixed population of particles…
Convex ordering for graphon mean-field systems
Daorong Cui, Shuoqing Deng, Yang Xiang
We establish marginal and functional convex order comparisons for graphon mean-field systems on , including the infinite-horizon setting. A key difficulty is that con…
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,…
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…