Central limit theorem for additive functionals of reversible Markov processes and applications to simple exclusions
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We prove a functional central limit theorem for additive functionals of stationary reversible ergodic Markov chains under virtually no assumptions other than the necessary ones. We use these results to study the asymptotic behavior of a tagged particle in an infinite particle system performing simple excluded random walk.
KeywordsNeural Network Statistical Physic Complex System Markov Chain Asymptotic Behavior
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