106 citations · 431 across the 57 of their papers we have counts for
4 papers · 2 filters
Invasion percolation on the Poisson-weighted infinite tree
Louigi Addario-Berry, Simon Griffiths, Ross J. Kang
We study invasion percolation on Aldous' Poisson-weighted infinite tree, and derive two distinct Markovian representations of the resulting process. One of these is the $σ\to\infty…
Total progeny in killed branching random walk
Louigi Addario-Berry, Nicolas Broutin
We consider a branching random walk for which the maximum position of a particle in the n'th generation, M_n, has zero speed on the linear scale: M_n/n --> 0 as n --> infinity. We…
Critical random graphs: limiting constructions and distributional properties
L. Addario-Berry, N. Broutin, C. Goldschmidt
We consider the Erdos-Renyi random graph G(n,p) inside the critical window, where p = 1/n + lambda * n^{-4/3} for some lambda in R. We proved in a previous paper (arXiv:0903.4730)…
The continuum limit of critical random graphs
Louigi Addario-Berry, Nicolas Broutin, Christina Goldschmidt
We consider the Erdos-Renyi random graph G(n,p) inside the critical window, that is when p=1/n+ lambda*n^{-4/3}, for some fixed lambda in R. Then, as a metric space with the graph…