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Asymptotic normality of the number of corners in tableaux associated with the partially asymmetric simple exclusion process

Asymptotic normality of the number of corners in tableaux associated with the partially asymmetric simple exclusion process

In this paper, we study corners in treeā€like and permutation tableaux. Treeā€like tableaux are in bijection with other combinatorial structures, including permutation tableaux, and have a connection to the partially asymmetric simple exclusion process (PASEP), an important model of an interacting particles system. In particular, in the context of treeā€like ā€¦