Limits of One-dimensional Interacting Particle Systems with Two-scale Interaction  

作　　者：Tong ZHAO 

机构地区：[1]School of Mathematical Sciences,Fudan University,Shanghai 200433,China

出　　处：《Chinese Annals of Mathematics,Series B》2022年第2期195-208,共14页数学年刊（B辑英文版）

摘　　要：This paper characterizes the limits of a large system of interacting particles distributed on the real line.The interaction occurring among neighbors involves two kinds of independent actions with different rates.This system is a generalization of the voter process,of which each particle is of type A or a.Under suitable scaling,the local proportion functions of A particles converge to continuous functions which solve a class of stochastic partial differential equations driven by Fisher-Wright white noise.To obtain the convergence,the tightness of these functions is derived from the moment estimate method.

关 键 词：Interacting particle systems Stochastic partial differential equations Two-scale interaction TIGHTNESS 

分 类 号：O175[理学—数学]