In the dense limit of the symmetric exclusion process, all n-time tracer cumulants reduce to integrals over a Brownian walker that stays positive.
Arratia, The Annals of Probability 11, 362 (1983), 2243693
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Full stochastic dynamics of a tracer in a dense single-file system
In the dense limit of the symmetric exclusion process, all n-time tracer cumulants reduce to integrals over a Brownian walker that stays positive.