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We determine diameters of Markov chains describing one-dimensional N-particle models with an exclusion interaction, namely the Ssep (symmetricsimple exclusion process) and one of its non-reversible liftings, the liftedTasep (totally asymmetric simple exclusion process). The diameters providelower bounds for the mixing times, and we discuss the implications of ourfindings for the analysis of these models.

Diameters of symmetric and lifted simple exclusion models