Some Combinatorial Arrays Related to the Lotka-Volterra System

David Callan, Shi-Mei Ma, Toufik Mansour


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.


Lotka-Volterra system; Context-free grammars; Eulerian numbers; Cyclically ordered partitions

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