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A generalization of Stirling numbers and distribution of phylogenetic trees

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Phylogenetics

P.L. Erdos and L.A. Szekely provided a bijection between rooted semi-labeled trees and set partitions, and hence Stirling numbers of the second kind. This, with the asymptotic normality of the Sirling numbers of the second kind (Harper) translates into the asymptotic normality of rooted semi-labeled trees with a fixed number of vertices and a variable number of internal vertices. We apply Harper’s method and the Erdos-szekely bijection to obtain the asymptotic normality of of phylogenetic trees.

This talk is part of the Isaac Newton Institute Seminar Series series.

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