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math.PR2021
On the peel number and the leaf-height of a Galton-Watson tree
Luc Devroye, Marcel K. Goh, Rosie Y. Zhao
We study several parameters of a random Bienaymé-Galton-Watson tree of size defined in terms of an offspring distribution with mean and nonzero finite variance $σ…
math.PR2021
Leaf multiplicity in a Bienaymé-Galton-Watson tree
Anna M. Brandenberger, Luc Devroye, Marcel K. Goh +1
This note defines a notion of multiplicity for nodes in a rooted tree and presents an asymptotic calculation of the maximum multiplicity over all leaves in a Bienaymé-Galton-Watson…