Geodesic
Set partitions and integrable hierarchies
Teoretičeskaâ i matematičeskaâ fizika, Tome 187 (2016) no. 3, pp. 455-486

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We demonstrate that statistics for several types of set partitions are described by generating functions arising in the theory of integrable equations.
Mots-clés : set partition, $B$-type partition, Bell polynomial
Keywords: nonoverlapping partition, atomic partition, Dowling number, Bessel number, generating function, integrable hierarchy. 
@article{TMF_2016_187_3_a4,
     author = {V. E. Adler},
     title = {Set partitions and integrable hierarchies},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {455--486},
     publisher = {mathdoc},
     volume = {187},
     number = {3},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2016_187_3_a4/}
}
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V. E. Adler. Set partitions and integrable hierarchies. Teoretičeskaâ i matematičeskaâ fizika, Tome 187 (2016) no. 3, pp. 455-486. http://geodesic.mathdoc.fr/item/TMF_2016_187_3_a4/