4 citations · 8 across the 5 of their papers we have counts for
3 papers · 1 filter
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…
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…
Effective resistance of random trees
Louigi Addario-Berry, Nicolas Broutin, Gábor Lugosi
We investigate the effective resistance and conductance between the root and leaves of a binary tree of height . In this electrical network, the resistance of each e…