526 citations
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Showing 2016 · math.PRShow all
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math.PR2016★ 5 cited
Paracontrolled quasilinear SPDEs
M. Furlan, M. Gubinelli
We introduce a non-linear paracontrolled calculus and use it to renormalise a class of singular SPDEs including certain quasilinear variants of the periodic two dimensional parabol…
math.PR2016★ 36 cited
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…