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arXiv · 2005.05895

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

Sylvie Corteel·Arthur Nunge
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Abstract

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 bijective point of view, we obtain a natural descent statistic on partially signed permutations; as well as partially signed permutations patterns.

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Sylvie Corteel, Arthur Nunge. 2020-05-12. Combinatorics of the 2-species exclusion processes, marked Laguerre histories, and partially signed permutations. https://arxiv.org/abs/2005.05895

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