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math.PR2018
Bootstrap percolation on the stochastic block model with k communities
Giovanni Luca Torrisi, Michele Garetto, Emilio Leonardi
We analyze the bootstrap percolation process on the stochastic block model (SBM), a natural extension of the Erdös--Rényi random graph that allows representing the "community struc…
math.PR2018
A large deviation approach to super-critical bootstrap percolation on the random graph
Giovanni Luca Torrisi, Michele Garetto, Emilio Leonardi
We consider the Erdös--Rényi random graph and we analyze the simple irreversible epidemic process on the graph, known in the literature as bootstrap percolation. We give…