Growth fluctuations in a class of deposition models

DOI10.1016/S0246-0203(03)00019-0zbMath1029.60075arXivmath/0112143OpenAlexW1934323845MaRDI QIDQ1399708

Márton Balázs

Publication date: 30 July 2003

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/math/0112143

zbMATH Keywords

coupling methodscurrent fluctuationssecond class particles

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41)

Related Items (12)

Stochastic bounds on the zero range processes with superlinear jump rates ⋮ 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 ⋮ Product blocking measures and a particle system proof of the Jacobi triple product ⋮ Interacting particle systems and Jacobi style identities ⋮ The random average process and random walk in a space-time random environment in one dimension ⋮ Couplings, attractiveness and hydrodynamics for conservative particle systems ⋮ Microscopic concavity and fluctuation bounds in a class of deposition processes ⋮ Fluctuation bounds in the exponential bricklayers process ⋮ Order of current variance and diffusivity in the rate one totally asymmetric zero range process ⋮ Order of current variance and diffusivity in the asymmetric simple exclusion process ⋮ Perturbation of singular equilibria of hyperbolic two-component systems: a universal hydrodynamic limit

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