52 citations · 290 across the 17 of their papers we have counts for
19 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
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…
Biased random walk on dynamical percolation
Sebastian Andres, Nina Gantert, Dominik Schmid +1
We study biased random walks on dynamical percolation on . We establish a law of large numbers and an invariance principle for the random walk using regeneration time…
First passage percolation with long-range correlations and applications to random Schrödinger operators
Sebastian Andres, Alexis Prévost
We consider first passage percolation (FPP) with passage times generated by a general class of models with long-range correlations on , , including discrete…
Lower Gaussian heat kernel bounds for the Random Conductance Model in a degenerate ergodic environment
Sebastian Andres, Noah Halberstam
We study the random conductance model on with ergodic, unbounded conductances. We prove a Gaussian lower bound on the heat kernel given a polynomial moment condition…
Quenched local limit theorem for random walks among time-dependent ergodic degenerate weights
Sebastian Andres, Alberto Chiarini, Martin Slowik
We establish a quenched local central limit theorem for the dynamic random conductance model on only assuming ergodicity with respect to space-time shifts and a mome…
Local Limit Theorems for the Random Conductance Model and Applications to the Ginzburg-Landau Interface Model
Sebastian Andres, Peter A. Taylor
We study a continuous-time random walk on in an environment of random conductances taking values in . For a static environment, we extend the quenched lo…