Set partitions and integrable hierarchies
Abstract
We demonstrate that statistics for several types of set partitions are described by generating functions arising in the theory of integrable equations.
- Publication:
-
Theoretical and Mathematical Physics
- Pub Date:
- June 2016
- DOI:
- 10.1134/S0040577916060052
- arXiv:
- arXiv:1510.02900
- Bibcode:
- 2016TMP...187..842A
- Keywords:
-
- Nonlinear Sciences - Exactly Solvable and Integrable Systems;
- Mathematics - Combinatorics;
- 05A18;
- 37K10
- E-Print:
- 32 pages, 8 figures