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math.PR2001★ 16 cited
Diffusive fluctuations for one-dimensional totally asymmetric interacting random dynamics
Timo Seppalainen
We study central limit theorems for a totally asymmetric, one-dimensional interacting random system. The models we work with are the Aldous-Diaconis-Hammersley process and the rela…
math.PR2001
Transience of second-class particles and diffusive bounds for additive functionals in one-dimensional asymmetric exclusion processes
Timo Seppalainen, Sunder Sethuraman
Consider a one-dimensional exclusion process with finite-range translation-invariant jump rates with non-zero drift. Let the process be stationary with product Bernoulli invariant…