2016
DOI: 10.48550/arxiv.1601.02212
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Stammering tableaux

Matthieu Josuat-Vergès

Abstract: The PASEP (Partially Asymmetric Simple Exclusion Process) is a probabilistic model of moving particles, which is of great interest in combinatorics, since it was realized that its partition function counts a certain kind of tableaux. These tableaux have several variants such as permutations tableaux, alternative tableaux, tree-like tableaux, Dyck tableaux, etc. We introduce in this context certain walks in Young's lattice, that we call stammering tableaux (by analogy with oscillating tableaux, vacillating tabl… Show more

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