# Efficient message passing for cascade size distributions on finite trees

@article{Burkholz2018EfficientMP, title={Efficient message passing for cascade size distributions on finite trees}, author={Rebekka Burkholz}, journal={arXiv: Physics and Society}, year={2018} }

How big is the risk that a few initial failures of networked nodes amplify to large cascades that endanger the functioning of the system? Common answers refer to the average final cascade size. Two analytic approaches allow its computation: a) (heterogeneous) mean field approximation and b) belief propagation. The former applies to (infinitely) large locally tree-like networks, while the latter is exact on finite trees. Yet, cascade sizes can have broad and multi-modal distributions that are…

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