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Does freezing impede the growth of random recursive trees?
Anna Brandenberger, Simon Briend, Hannah Cairns +2
Uniform attachment with freezing is an extension of the classical model of random recursive trees, in which trees are recursively built by attaching new vertices to old ones. In th…
The height of the infection tree
Emmanuel Kammerer, Igor Kortchemski, Delphin Sénizergues
We are interested in the geometry of the ``infection tree'' in a stochastic SIR (Susceptible-Infectious-Recovered) model, starting with a single infectious individual. This tree is…
Condensation in subcritical Cauchy Bienaymé trees
Igor Kortchemski, Leonard Vetter
The goal of this note is to study the geometry of large size-conditioned Bienaymé trees whose offspring distribution is subcritical, belongs to the domain of attraction of a stable…