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A generalization of Stirling numbers and distribution of phylogenetic trees

Thursday 23rd June 2011 - 11:50 to 12:10
INI Seminar Room 1
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.
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Presentation Material: 
University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons