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math.PR2017
Very fat geometric galton-watson trees
Romain Abraham, Aymen Bouaziz, Jean-François Delmas
Let n be a random tree distributed as a Galton-Watson tree with geometric offspring distribution conditioned on {Zn = an} where Zn is the size of the n-th generation and (an, n…
math.PR2015
Local limits of galton-watson trees conditioned on the number of protected nodes
Romain Abraham, Aymen Bouaziz, Jean-François Delmas
We consider a marking procedure of the vertices of a tree where each vertex is marked independently from the others with a probability that depends only on its out-degree. We prove…