44 citations · 49 across the 5 of their papers we have counts for
7 papers
The fractional p-Laplacian emerging from homogenization of the random conductance model with degenerate ergodic weights and unbounded-range jumps
Franziska Flegel, Martin Heida
We study a general class of discrete -Laplace operators in the random conductance model with long-range jumps and ergodic weights. Using a variational formulation of the problem…
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…
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…
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…
Dynamical localization and eigenstate localization in trap models
Franziska Flegel, Igor M. Sokolov
The one-dimensional random trap model with a power-law distribution of mean sojourn times exhibits a phenomenon of dynamical localization in the case where diffusion is anomalous:…
Disentangling sources of anomalous diffusion
Felix Thiel, Franziska Flegel, Igor M. Sokolov
We show that some important properties of subbdiffusion of unknown origin (including those of mixed origin) can be easily assessed when findeng the "fundamental moment" of the corr…
Canonical fitness model for simple scale-free graphs
F. Flegel, I. M. Sokolov
We consider a fitness model assumed to generate simple graphs with power-law heavy-tailed degree sequence: P(k) \propto k^{-1-α} with 0 < α< 1, in which the corresponding distribut…