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Some combinatorial arrays related to the Lotka-Volterra system

The purpose of this paper is to investigate the connection between the Lotka-Volterra system and combinatorics. We study several context-free grammars associated with the Lotka-Volterra system. Some combinatorial arrays, involving the Stirling numbers of the second kind and Eulerian numbers, are generated by these context-free grammars. In particular, we present grammatical characterization of some statistics on cyclically ordered partitions.

preprint2014arXivOpen access
Shi-Mei MaToufik MansourDavid Callan
math.CO
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Open access3 authors1 topic
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Shi-Mei MaToufik MansourDavid Callan

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