Existence of the zero range process and a deposition model with superlinear growth rates

DOI10.1214/009117906000000971zbMath1138.60340arXivmath/0511287OpenAlexW3102440868MaRDI QIDQ2373565

Sunder Sethuraman, Márton Balázs, Timo Seppäläinen, Firas Rassoul-Agha

Publication date: 12 July 2007

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0511287

zbMATH Keywords

construction of dynamicsbricklayer'sergodicity of dynamicssuperlinear jump ratesZero range

Mathematics Subject Classification ID

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

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Hydrodynamic limit of the zero range process on a randomly oriented graph ⋮ Asymmetric stochastic transport models with \(\mathcal{U}_q(\mathfrak{su}(1,1))\) symmetry ⋮ Product blocking measures and a particle system proof of the Jacobi triple product ⋮ Derivation of mean-field equations for stochastic particle systems ⋮ q-zero range has random walking shocks ⋮ 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 ⋮ Invariant measures of interacting particle systems: Algebraic aspects ⋮ Zero-range processes with rapidly growing rates ⋮ Random walk of second class particles in product shock measures ⋮ Condensation in stochastic particle systems with stationary product measures ⋮ Current large deviations for partially asymmetric particle systems on a ring

Cites Work

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• Invariant measures for the zero range process
• Growth fluctuations in a class of deposition models
• Stochastic bounds on the zero range processes with superlinear jump rates
• Microscopic structure of shocks in conservation laws
• Multiple shocks in Bricklayers' model
• An infinite particle system with zero range interactions
• Nonlinear electron solutions and their characteristics at infinity
• Markov Chains
• On extremal measures for conservative particle systems
• Microscopic shape of shocks in a domain growth model

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