2006/07/20 by Hanna Jankowski, Jankowski, Hanna
Biochemistry, Genetics and Molecular Biology · Mathematics · Physics and Astronomy · #60K35 #82C22 #Advanced Thermodynamics and Statistical Mechanics #Diffusion and Search Dynamics #FOS: Mathematics #Probability (math.PR) #Stochastic processes and statistical mechanics #math.PR #msc:60K35 #msc:82C22
paper · pdf · doi:10.48550/arxiv.math/0607505
arxiv created 2006/07/20 · openalex publication_date 2006/07/20 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We examine the fluctuations of the empirical density measure for the colour version of the symmetric nearest neighbour zero range particle systems in dimension one. We show that the weak limit of these fluctuations is the solution of a system of coupled generalized Ornstein-Uhlenbeck processes. We also discuss how this result may be used to prove a central limit theorem for the tagged particle on the level of finite dimensional distributions, and identify the limiting variance. This is the central limit theorem associated to propagation of chaos for this interacting particle system.