典型文献
Limits of One-dimensional Interacting Particle Systems with Two-scale Interaction
文献摘要:
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 pro-portion 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.
文献关键词:
中图分类号:
作者姓名:
Tong ZHAO
作者机构:
School of Mathematical Sciences,Fudan University,Shanghai 200433,China
文献出处:
引用格式:
[1]Tong ZHAO-.Limits of One-dimensional Interacting Particle Systems with Two-scale Interaction)[J].数学年刊B辑(英文版),2022(02):195-208
A类:
voter
B类:
Limits,One,dimensional,Interacting,Particle,Systems,Two,scale,Interaction,This,paper,characterizes,limits,large,system,interacting,particles,distributed,real,line,interaction,occurring,among,neighbors,involves,two,kinds,independent,actions,rates,generalization,process,which,each,type,Under,suitable,scaling,local,portion,functions,continuous,solve,class,stochastic,partial,differential,equations,driven,by,Fisher,Wright,white,noise,To,obtain,convergence,tightness,these,derived,from,moment,estimate,method
AB值:
0.727879
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