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Starting from the two-species partially asymmetric simple exclusion process,we study a subclass of signed permutations, the partially signed permutations,using the combinatorics of Laguerre histories. From this physical and bijectivepoint of view, we obtain a natural descent statistic on partially signedpermutations; as well as partially signed permutations patterns.

Combinatorics of the 2-species exclusion processes, marked Laguerre histories, and partially signed permutations