%0 Journal Article %1 flegel2018eigenvector %A Flegel, Franziska %D 2018 %K spectral-theory %T Eigenvector localization in the heavy-tailed random conductance model %U http://arxiv.org/abs/1801.05684 %X We 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 $k$th eigenvector is close to the principal eigenvector of an auxiliary spectral problem.

@article{flegel2018eigenvector, abstract = {We 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 $k$th eigenvector is close to the principal eigenvector of an auxiliary spectral problem.}, added-at = {2018-01-18T18:57:20.000+0100}, author = {Flegel, Franziska}, biburl = {https://www.bibsonomy.org/bibtex/207358c4bfbf6b9c124b5e2cdf47a6da8/claired}, description = {Eigenvector localization in the heavy-tailed random conductance model}, interhash = {f4ba4166b020217136ac68ab4a747d77}, intrahash = {07358c4bfbf6b9c124b5e2cdf47a6da8}, keywords = {spectral-theory}, note = {cite arxiv:1801.05684Comment: 14 pages. Generalizes the results of article arXiv:1608.02415 to higher order eigenvectors. For better readability, we have copied the main definitions}, timestamp = {2018-01-18T18:57:20.000+0100}, title = {Eigenvector localization in the heavy-tailed random conductance model}, url = {http://arxiv.org/abs/1801.05684}, year = 2018 }