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- ItemEigenvector localization in the heavy-tailed random conductance model(Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik, 2018) Flegel, FranziskaWe generalize our former localization result about the principal Dirichlet eigenvector of the i.i.d. heavy-tailed random conductance Laplacian to the first k eigenvectors. We overcome the complication that the higher eigenvectors have fluctuating signs by invoking the Bauer-Fike theorem to show that the kth eigenvector is close to the principal eigenvector of an auxiliary spectral problem.