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most citedThe mean, variance and limiting distribution of two statistics sensitive to phylogenetic tree balance

70 citations · 493 across the 77 of their papers we have counts for

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math.PR2016

Moment convergence of balanced Pólya processes

Svante Janson, Nicolas Pouyanne

It is known that in an irreducible small Pólya urn process, the composition of the urn after suitable normalization converges in distribution to a normal distribution. We show that…

math.PR2016

Multivariate normal limit laws for the numbers of fringe subtrees in -ary search trees and preferential attachment trees

Cecilia Holmgren, Svante Janson, Matas Šileikis

We study fringe subtrees of random -ary search trees and of preferential attachment trees, by putting them in the context of generalised Pólya urns. In particular we show that…