Fluctuation bounds in the exponential bricklayers process

DOI10.1007/s10955-012-0470-5zbMath1245.82043arXiv1107.4752OpenAlexW1989919704MaRDI QIDQ425202

Márton Balázs, Júlia Komjáthy, Timo Seppäläinen

Publication date: 7 June 2012

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1107.4752

zbMATH Keywords

convexityinteracting particle systems\(t ^{1/3}\)-scalingbricklayers processsecond class particleuniversal fluctuation bounds

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Interacting random processes; statistical mechanics type models; percolation theory (60K35)

Related Items (2)

KPZ-type fluctuation exponents for interacting diffusions in equilibrium ⋮ Optimal-order exit point bounds in exponential last-passage percolation via the coupling technique

Cites Work

• Random walk of second class particles in product shock measures
• Growth fluctuations in a class of deposition models
• Exact connections between current fluctuations and the second class particle in a class of deposition models
• Existence of the zero range process and a deposition model with superlinear growth rates
• Microscopic concavity and fluctuation bounds in a class of deposition processes
• Multiple shocks in Bricklayers' model
• Microscopic shape of shocks in a domain growth model

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