Sebastian Andres

collaborators

3 papers

math.PR2025

Scaling limit of the discrete Gaussian free field with degenerate random conductances

Sebastian Andres, Martin Slowik, Anna-Lisa Sokol

We consider discrete Gaussian free fields with ergodic random conductances on a class of random subgraphs of $Z^{d}$ , $d \geq 2$ , including i.i.d.\ supercritical percolati…

math.PR2025

Homogenization theory of random walks in degenerate random environment

Sebastian Andres

Recent progress on the understanding of the Random Conductance Model is reviewed. A particular emphasis is on homogenization results such as functional central limit theorems, loca…

math.PR2023

Invariance principle and local limit theorem for a class of random conductance models with long-range jumps

Sebastian Andres, Martin Slowik

We study continuous time random walks on $Z^{d}$ (with $d \geq 2$ ) among random conductances ${ω ({x, y}) : x, y \in Z^{d}}$ that permit jumps of arbitrary length.…