Some combinatorial arrays related to the Lotka-Volterra system
Combinatorics
2014-04-04 v1
Abstract
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.
Keywords
Cite
@article{arxiv.1404.0731,
title = {Some combinatorial arrays related to the Lotka-Volterra system},
author = {Shi-Mei Ma and Toufik Mansour and David Callan},
journal= {arXiv preprint arXiv:1404.0731},
year = {2014}
}
Comments
15 pages