167 citations · 539 across the 32 of their papers we have counts for
4 papers · 1 filter
Derivation of the stochastic Burgers equation with Dirichlet boundary conditions from the WASEP
Patricia Gonçalves, Nicolas Perkowski, Marielle Simon
We consider the weakly asymmetric simple exclusion process on the discrete space , in contact with stochastic reservoirs, both with density at the extr…
Paracontrolled distributions on Bravais lattices and weak universality of the 2d parabolic Anderson model
Jörg Martin, Nicolas Perkowski
We develop a discrete version of paracontrolled distributions as a tool for deriving scaling limits of lattice systems, and we provide a formulation of paracontrolled distribution…
An introduction to singular SPDEs
Massimiliano Gubinelli, Nicolas Perkowski
We review recent results on the analysis of singular stochastic partial differential equations in the language of paracontrolled distributions.
Probabilistic approach to the stochastic Burgers equation
Massimiliano Gubinelli, Nicolas Perkowski
We review the formulation of the stochastic Burgers equation as a martingale problem. One way of understanding the difficulty in making sense of the equation is to note that it is…