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math.PR2023
The distributions under two species-tree models of the total number of ancestral configurations for matching gene trees and species trees
Filippo Disanto, Michael Fuchs, Chun-Yen Huang +2
Given a gene-tree labeled topology and a species tree , the "ancestral configurations" at an internal node of represent the combinatorially different sets of gene li…
math.PR2022
Distribution of external branch lengths in Yule trees
Filippo Disanto, Michael Fuchs
The Yule branching process is a classical model for the random generation of gene tree topologies in population genetics. It generates binary ranked trees -- also called "histories…
math.PR2017
Dependence between Path-length and Size in Random Digital Trees
Michael Fuchs, Hsien-Kuei Hwang
We study the size and the external path length of random tries and show that they are asymptotically independent in the asymmetric case but strongly dependent with small periodic f…