We prove stochastic homogenization for reaction–advection–diffusion equations with
random space-time-dependent KPP reactions with temporal correlations that are decaying …

We prove homogenization for reaction–advection–diffusion equations with KPP reactions, in
the time-periodic spatially stationary ergodic setting, and find an explicit formula for the …

The goal of the paper is a rigorous derivation of a macroscopic traffic flow model with a
bifurcation or a local perturbation from a microscopic one. The microscopic model is a …

We study scaling limits of exploding Abelian sandpiles using ideas from percolation and
front propagation in random media. We establish sufficient conditions under which a limit …

We obtain the first quantitative stochastic homogenization result for reaction–diffusion
equations, for ignition reactions in dimensions d Ä 3 that either have finite ranges of …

The Abelian sandpile is a deterministic diffusion process on graphs which produces striking,
kaleidoscopic patterns. Why do these patterns appear? Are the patterns robust to noise? Do …