Space-time fluctuation of the Kardar-Parisi-Zhang equation in \(d \geq 3\) and the Gaussian free field

DOI10.1214/22-AIHP1272arXiv1905.03200MaRDI QIDQ6127291

Francis Comets, Chiranjib Mukherjee, Clément Cosco

Publication date: 12 April 2024

Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.03200

zbMATH Keywords

rate of convergencestochastic heat equationdirected polymersrandom environmentGaussian free fieldSPDEKardar-Parisi-Zhang equationEdwards-Wilkinson limit

Mathematics Subject Classification ID

Statistical mechanics of polymers (82D60) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) PDEs in connection with statistical mechanics (35Q82)

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