52 citations · 247 across the 19 of their papers we have counts for
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math.PR2026
Anchored Nash inequalities and heat kernel bounds for a class of random conductance models with long-range jumps
Sebastian Andres, Xin Chen, Martin Slowik +1
We show anchored versions of the Nash inequality for discrete non-local divergence-form operators with degenerate weights. They allow to control the -norm of a function by D…
math.PR2026
Scaling limits for nonlinear functionals of the discrete Gaussian free field with degenerate random conductances
Christof F. Peter, Martin Slowik
We consider nonlinear functionals of discrete Gaussian free fields with ergodic random conductances on a class of random subgraphs of , including i.i.d. supercritic…
math.PR2026
Invariance principles for rough walks in random conductances
Johannes Bäumler, Noam Berger, Tal Orenshtein +1
We establish annealed and quenched invariance principles for random walks in random conductances lifted to the p-variation rough path topology, allowing for degenerate environments…