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• W3101611700 abstract "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 fluctuations of the system are well approximated by the solution to the KPZ equation provided the microscopic interaction is weakly asymmetric. The proof is based on the martingale solutions of Gonçalves and Jara (Arch Ration Mech Anal 212(2):597–644, 2014) and the corresponding uniqueness result of Gubinelli and Perkowski (Energy solutions of KPZ are unique, 2015)." @default.
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• W3101611700 date "2017-05-26" @default.
• W3101611700 modified "2023-09-25" @default.
• W3101611700 title "The Kardar–Parisi–Zhang Equation as Scaling Limit of Weakly Asymmetric Interacting Brownian Motions" @default.
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• W3101611700 doi "https://doi.org/10.1007/s00220-017-2918-6" @default.
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