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David Callan
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Shi-Mei Ma
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Toufik Mansour
Keywords:
Lotka-Volterra system, Context-free grammars, Eulerian numbers, Cyclically ordered partitions
Abstract
The purpose of this paper is to investigate several context-free grammars suggested by 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.