Weakly asymmetric bridges and the KPZ equation

DOI10.1007/s00220-017-2875-0zbMath1368.60102arXiv1603.03560OpenAlexW2301350747MaRDI QIDQ2362808

Cyril Labbé

Publication date: 14 July 2017

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.03560

zbMATH Keywords

KPZ equationweakly asymmetric simple exclusion processdiscrete bridges

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Interface problems; diffusion-limited aggregation in time-dependent statistical mechanics (82C24)

Related Items (15)

Glauber dynamics of 2D Kac-Blume-Capel model and their stochastic PDE limits ⋮ Mixing time and cutoff for the weakly asymmetric simple exclusion process ⋮ The Kardar-Parisi-Zhang equation as scaling limit of weakly asymmetric interacting Brownian motions ⋮ Stochastic PDE limit of the six vertex model ⋮ Space-time discrete KPZ equation ⋮ Large scale limit of interface fluctuation models ⋮ Cutoff phenomenon for the asymmetric simple exclusion process and the biased card shuffling ⋮ Some recent progress in singular stochastic partial differential equations ⋮ The KPZ limit of ASEP with boundary ⋮ On the scaling limits of weakly asymmetric bridges ⋮ KPZ equation limit of stochastic higher spin six vertex model ⋮ SPDE limit of weakly inhomogeneous ASEP ⋮ Scaling limit of a directed polymer among a Poisson field of independent walks ⋮ The intermediate disorder regime for Brownian directed polymers in Poisson environment ⋮ Energy solutions of KPZ are unique

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