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arxiv: 2005.05827 · v2 · pith:M33FQFBJnew · submitted 2020-05-12 · 🧮 math.PR

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

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keywords applicationcentraldependentdiffusioninfiniteinteractinglimitprocesses
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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.

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