English

A CLT for dependent random variables, with an application to an infinite system of interacting diffusion processes

Probability 2021-10-19 v2

Abstract

We present a central limit theorem for stationary random fields that are short-range dependent and asymptotically independent. As an application, we present a central limit theorem for an infinite family of interacting It\^o-type diffusion processes.

Keywords

Cite

@article{arxiv.2005.05827,
  title  = {A CLT for dependent random variables, with an application to an infinite system of interacting diffusion processes},
  author = {Le Chen and Davar Khoshnevisan and David Nualart and Fei Pu},
  journal= {arXiv preprint arXiv:2005.05827},
  year   = {2021}
}
R2 v1 2026-06-23T15:29:29.100Z