Set partitions and integrable hierarchies

VE Adler - Theoretical and Mathematical Physics, 2016 - Springer
Theoretical and Mathematical Physics, 2016Springer
SET PARTITIONS AND INTEGRABLE HIERARCHIES 1. Introduction Page 1 Theoretical
and Mathematical Physics, 187(3): 842–870 (2016) SET PARTITIONS AND INTEGRABLE
HIERARCHIES VE Adler ∗ We demonstrate that statistics for several types of set partitions
are described by generating functions arising in the theory of integrable equations.
Keywords: set partition, B-type partition, nonoverlapping partition, atomic partition, Bell
polynomial, Dowling number, Bessel number, generating function, integrable hierarchy DOI …
Abstract
We demonstrate that statistics for several types of set partitions are described by generating functions arising in the theory of integrable equations.
Springer