Some Combinatorial Arrays Related to the Lotka-Volterra System
Some Combinatorial Arrays Related to the Lotka-Volterra System
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DOI：
10.37236/4413
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发表时间：
2014-04
期刊：
影响因子：
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通讯作者：
David Callan;Shi-Mei Ma;T. Mansour
中科院分区：
文献类型：
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作者：
David Callan;Shi-Mei Ma;T. Mansour
本文的目的是研究Lotka-Volterra系统与组合学之间的联系。我们研究了几个与Lotka-Volterra系统相关的上下文无关语法。一些组合数组，包括第二类斯特林数和欧拉数，是由这些无关上下文的语法生成的。特别地，我们提出了一些循环有序分区统计的语法特征。
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.