44 citations · 49 across the 5 of their papers we have counts for
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math.PR2018
Eigenvector localization in the heavy-tailed random conductance model
Franziska Flegel
We generalize our former localization result about the principal Dirichlet eigenvector of the i.i.d. heavy-tailed random conductance Laplacian to the first eigenvectors. We ove…
math.PR2017
Homogenization theory for the random conductance model with degenerate ergodic weights and unbounded-range jumps
Franziska Flegel, Martin Heida, Martin Slowik
We study homogenization properties of the discrete Laplace operator with random conductances on a large domain in . More precisely, we prove almost-sure homogenizatio…
math.PR2016
Localization of the principal Dirichlet eigenvector in the heavy-tailed random conductance model
Franziska Flegel
We study the asymptotic behavior of the principal eigenvector and eigenvalue of the random conductance Laplacian in a large domain of () with zero Dirichlet…