Microscopic concavity and fluctuation bounds in a class of deposition processes

DOI10.1214/11-AIHP415zbMath1247.82039arXiv0808.1177OpenAlexW3104264358MaRDI QIDQ2428949

Júlia Komjáthy, Timo Seppäläinen, Márton Balázs

Publication date: 22 April 2012

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/0808.1177

zbMATH Keywords

interacting particle systemszero range processdeterminantal representationuniversal fluctuation boundsasymmetric simple exclusion\(t^{1/3}\) scalingKPZ modelmicroscopic concavity hypothesisTracy-Widom distributions and processes

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Interface problems; diffusion-limited aggregation in time-dependent statistical mechanics (82C24)

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