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arXiv · 1305.5745

Large deviations of cascade processes on graphs

F. Altarelli·A. Braunstein·L. Dall'Asta·R. Zecchina
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Abstract

Simple models of irreversible dynamical processes such as Bootstrap Percolation have been successfully applied to describe cascade processes in a large variety of different contexts. However, the problem of analyzing non-typical trajectories, which can be crucial for the understanding of the out-of-equilibrium phenomena, is still considered to be intractable in most cases. Here we introduce an efficient method to find and analyze optimized trajectories of cascade processes. We show that for a wide class of irreversible dynamical rules, this problem can be solved efficiently on large-scale systems.

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BibTeXRIS

F. Altarelli, A. Braunstein, L. Dall'Asta, R. Zecchina. 2013-05-24. Large deviations of cascade processes on graphs. https://doi.org/10.1103/physreve.87.062115

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