English

On the combinatorics of several integrable hierarchies

Exactly Solvable and Integrable Systems 2015-07-07 v1 Combinatorics

Abstract

We demonstrate that statistics of certain classes of set partitions is described by generating functions related to the Burgers, Ibragimov--Shabat and Korteweg--de Vries integrable hierarchies.

Keywords

Cite

@article{arxiv.1501.06086,
  title  = {On the combinatorics of several integrable hierarchies},
  author = {V. E. Adler},
  journal= {arXiv preprint arXiv:1501.06086},
  year   = {2015}
}

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16 pages