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Dynamical Systems Seminar: Dane Taylor

Subcritical percolation on networks

Dane Taylor

Applied Mathematics,Ìý

Date and time:Ìý

Thursday, February 17, 2011 - 4:30pm

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Percolation on networks has applications ranging from epidemic and information spreading to system robustness. Extending previous results restricted to directed or Markovian networks, we introduce a general theory for predicting the percolation threshold based on an analysis of the network adjacency matrix. In addition to its applicability for networks with non-Markovian statistics, our method is easily implemented when the adjacency matrix is known. We illustrate our theory with various examples.