Set partitions and integrable hierarchies (Q314918)
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scientific article; zbMATH DE number 6628290
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Set partitions and integrable hierarchies |
scientific article; zbMATH DE number 6628290 |
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Set partitions and integrable hierarchies (English)
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19 September 2016
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This paper shows how combinatorial structures relate to integrable hierarchies by demonstrating that the generating functions for several combinatorial structures with respect to specific statistics arise in the theory of integrable equations. Specific structures that are discussed are set partitions, natural growth sequences, B-type set partitions, nonoverlapping and atomic set partitions.
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set partition
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natural growth sequence
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B-type partition
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nonoverlapping partition
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atomic partition
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Bell polynomial
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generating function
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integrable hierarchy
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