From the 1 of 9 linked papers with an AI index.
9 papers
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
The paper establishes anchored Nash inequalities for non‑local divergence‑form operators with degenerate weights and uses them to derive on‑diagonal heat kernel upper bounds for ra…
Metastability for the Curie-Weiss-Potts model with unbounded random interactions
Johan L. A. Dubbeldam, Vicente Lenz Burnier, Elena Pulvirenti +1
We analyse the metastable behaviour of the disordered Curie--Weiss--Potts (DCWP) model subject to a Glauber dynamics. The model is a randomly disordered version of the mean-field $…
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…
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…
Gradient estimates of the heat kernel for random walks among time-dependent random conductances
Jean-Dominique Deuschel, Takashi Kumagai, Martin Slowik
In this paper we consider a time-continuous random walk in in a dynamical random environment with symmetric jump rates to nearest neighbours. We assume that these ra…
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 , , including i.i.d.\ supercritical percolati…