English

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

Combinatorics 2020-05-13 v1

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.

Keywords

Cite

@article{arxiv.2005.05895,
  title  = {Combinatorics of the 2-species exclusion processes, marked Laguerre histories, and partially signed permutations},
  author = {Sylvie Corteel and Arthur Nunge},
  journal= {arXiv preprint arXiv:2005.05895},
  year   = {2020}
}

Comments

22 pages, 9 figures