Stationary blocking measures for one-dimensional nonzero mean exclusion processes.

DOI10.1214/aop/1029867122zbMath1042.60062OpenAlexW2058318221MaRDI QIDQ1872288

Maury Bramson, Thomas S. Mountford

Publication date: 6 May 2003

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

Full work available at URL: https://doi.org/10.1214/aop/1029867122

zbMATH Keywords

stationary measuresexclusion processesblocking measures

Mathematics Subject Classification ID

Random fields (60G60) Interacting random processes; statistical mechanics type models; percolation theory (60K35)

Related Items (16)

Characterization of stationary measures for one-dimensional exclusion processes. ⋮ Blockage hydrodynamics of one-dimensional driven conservative systems. ⋮ Exclusion processes in higher dimensions: stationary measures and convergence ⋮ A driven tagged particle in asymmetric exclusion processes ⋮ Product blocking measures and a particle system proof of the Jacobi triple product ⋮ Euler hydrodynamics of one-dimensional attractive particle systems ⋮ \(t^{1/3}\) superdiffusivity of finite-range asymmetric exclusion processes on \({\mathbb{Z}}\) ⋮ Classification of stationary distributions for the stochastic vertex models ⋮ Couplings, attractiveness and hydrodynamics for conservative particle systems ⋮ Euler hydrodynamics for attractive particle systems in random environment ⋮ Constructive Euler Hydrodynamics for One-Dimensional Attractive Particle Systems ⋮ A constructive approach to Euler hydrodynamics for attractive processes. Application to \(k\)-step exclusion. ⋮ Macroscopic stability for nonfinite range kernels ⋮ Convergence and local equilibrium for the one-dimensional nonzero mean exclusion process ⋮ Coupling, concentration inequalities, and stochastic dynamics ⋮ Equilibrium interfaces of biased voter models

Cites Work

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• Hydrodynamic limit for attractive particle systems on \(\mathbb{Z}{}^ d\)
• Interaction of Markov processes
• Coupling the simple exclusion process
• Blocking measures for asymmetric exclusion processes via coupling
• Characterization of stationary measures for one-dimensional exclusion processes.
• An extension of a result of Andjel
• Ergodic Theorems for the Asymmetric Simple Exclusion Process

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