The Hairer--Quastel universality result in equilibrium

2016/02/07 by Massimiliano Gubinelli, Gubinelli, Massimiliano, Nicolas Perkowski +1 · 2 citations
Economics, Econometrics and Finance · Mathematics · #FOS: Mathematics #FOS: Physical sciences #Geometric Analysis and Curvature Flows #Mathematical Physics (math-ph) #Probability (math.PR) #Stochastic processes and financial applications #Stochastic processes and statistical mechanics

paper · pdf · doi:10.48550/arxiv.1602.02428

openalex publication_date 2016/02/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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 stochastic PDEs.

Citations

• Energy solutions of KPZ are unique

Cited by

• An introduction to singular SPDEs
• ASEP(q,j) converges to the KPZ equation
• Open ASEP in the Weakly Asymmetric Regime

Related

• Hairer-Quastel universality in non-stationarity via energy solution theory
• On energy solutions to stochastic Burgers equation
• Generalized solutions of the stochastic Burgers equation
• Hairer-Quastel universality for KPZ -- polynomial smoothing mechanisms, general nonlinearities and Poisson noise
• Derivation of the Stochastic Burgers equation from the WASEP