Franziska Flegel

activity

20162019

collaborators

4 papers

math.AP2019

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 $p$ -Laplace operators in the random conductance model with long-range jumps and ergodic weights. Using a variational formulation of the problem…

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 $k$ 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 $Z^{d}$ . 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 $Z^{d}$ ( $d \geq 2$ ) with zero Dirichlet…