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Robustness of Large-Scale Stochastic Matrices to Localized Perturbations

Robustness of Large-Scale Stochastic Matrices to Localized Perturbations

Many notions of network centrality can be formulated in terms of invariant probability vectors of suitably defined stochastic matrices encoding the network structure. Analogously, invariant probability vectors of stochastic matrices allow one to characterize the asymptotic behavior of many linear network dynamics, e.g., arising in opinion dynamics in social networks …