Derivation of the stochastic Burgers equation from totally asymmetric interacting particle systems

DOI10.1016/j.spa.2022.10.006OpenAlexW4306405345MaRDI QIDQ2105069

Kohei Hayashi

Publication date: 8 December 2022

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spa.2022.10.006

zbMATH Keywords

interacting particle systemsKPZ equationstochastic Burgers equation\(q\)-TASEP

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Stochastic partial differential equations (aspects of stochastic analysis) (60H15)

Related Items (1)

Derivation of anomalous behavior from interacting oscillators in the high-temperature regime

Cites Work

• Solving the KPZ equation
• From duality to determinants for \(q\)-TASEP and ASEP
• A theory of regularity structures
• A stochastic Burgers equation from a class of microscopic interactions
• KPZ reloaded
• Tightness of probabilities on C([0,1;\(S_ p\)) and D([0,1];\(S_ p\))]
• Superdiffusivity of the 1D lattice Kardar-Parisi-Zhang equation
• Central limit theorem for additive functionals of reversible Markov processes and applications to simple exclusions
• Stochastic Burgers and KPZ equations from particle systems
• Probabilistic approach to the stochastic Burgers equation
• Scaling of the sasamoto-Spohn model in equilibrium
• Brownian analogues of Burke's theorem.
• Diffusion of directed polymers in a random environment.
• Stationary directed polymers and energy solutions of the Burgers equation
• The infinitesimal generator of the stochastic Burgers equation
• The Kardar-Parisi-Zhang equation as scaling limit of weakly asymmetric interacting Brownian motions
• Macdonald processes
• Nonlinear fluctuations of weakly asymmetric interacting particle systems
• THE KARDAR–PARISI–ZHANG EQUATION AND UNIVERSALITY CLASS
• PARACONTROLLED DISTRIBUTIONS AND SINGULAR PDES
• Energy solutions of KPZ are unique
• Dynamic Scaling of Growing Interfaces
• Some recent progress in singular stochastic partial differential equations

This page was built for publication: Derivation of the stochastic Burgers equation from totally asymmetric interacting particle systems