Set partitions and integrable hierarchies

DOI10.1134/S0040577916060052zbMath1350.37072arXiv1510.02900OpenAlexW2219617134MaRDI QIDQ314918

Vsevolod Eduardovich Adler

Publication date: 19 September 2016

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.02900

zbMATH Keywords

generating functionintegrable hierarchyBell polynomialset partitionatomic partitionB-type partitionnatural growth sequencenonoverlapping partition

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Partitions of sets (05A18) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10)

Related Items (2)

From Hurwitz numbers to Feynman diagrams: counting rooted trees in log gravity ⋮ Invariant synchrony and anti-synchrony subspaces of weighted networks

Uses Software

• OEIS

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