167 citations · 539 across the 32 of their papers we have counts for
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An invariance principle for the two-dimensional parabolic Anderson model with small potential
Khalil Chouk, Jan Gairing, Nicolas Perkowski
We prove an invariance principle for the two-dimensional lattice parabolic Anderson model with small potential. As applications we deduce a Donsker type convergence result for a di…
A superhedging approach to stochastic integration
Rafał M. Łochowski, Nicolas Perkowski, David J. Prömel
Using Vovk's outer measure, which corresponds to a minimal superhedging price, the existence of quadratic variation is shown for "typical price paths" in the space of càdlàg functi…
The Kardar-Parisi-Zhang equation as scaling limit of weakly asymmetric interacting Brownian motions
Joscha Diehl, Massimiliano Gubinelli, Nicolas Perkowski
We consider a system of infinitely many interacting Brownian motions that models the height of a one-dimensional interface between two bulk phases. We prove that the large scale fl…
The Hairer--Quastel universality result in equilibrium
Massimiliano Gubinelli, Nicolas Perkowski
We use the notion of energy solutions of the stochastic Burgers equation to give a short proof of the Hairer-Quastel universality result for a class of stationary weakly asymmetric…