Lectures on Energy Solutions for the Stationary KPZ Equation

DOI10.1007/978-3-030-29545-5_2zbMath1504.60099OpenAlexW2996148552MaRDI QIDQ5038375

Massimiliano Gubinelli

Publication date: 30 September 2022

Published in: Lecture Notes in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-29545-5_2

zbMATH Keywords

scaling limitmartingale problemspace-time white noisestochastic Burgers equationone-dimensional torusKardar-Parisi-Zhang equation equation

Mathematics Subject Classification ID

White noise theory (60H40) Stochastic partial differential equations (aspects of stochastic analysis) (60H15)

Related Items

Gaussian fluctuations for the stochastic Burgers equation in dimension \(d \geq 2\) ⋮ Hyperviscous stochastic Navier–Stokes equations with white noise invariant measure

Cites Work

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• A stochastic Burgers equation from a class of microscopic interactions
• Regularization by noise and stochastic Burgers equations
• KPZ equation, its renormalization and invariant measures
• A pregenerator for Burgers equation forced by conservative noise
• Stochastic Burgers and KPZ equations from particle systems
• Probabilistic approach to the stochastic Burgers equation
• The Kardar-Parisi-Zhang equation as scaling limit of weakly asymmetric interacting Brownian motions
• Nonlinear fluctuations of weakly asymmetric interacting particle systems
• Lectures on singular stochastic PDEs
• Energy solutions of KPZ are unique
• Dynamic Scaling of Growing Interfaces
• A criterion for invariant measures of markov processes
• Gaussian Hilbert Spaces
• A CLASS OF GROWTH MODELS RESCALING TO KPZ
• Derivation of the Stochastic Burgers Equation from the WASEP
• The Hairer--Quastel universality result in equilibrium
• Fluctuations in Markov Processes
• Elements of Stochastic Calculus via Regularization
• A generalized class of Lyons-Zheng processes
• Scaling limits for the exclusion process with a slow site