Characterization of stationary measures for one-dimensional exclusion processes.

DOI10.1214/aop/1039548366zbMath1039.60086OpenAlexW2021348160MaRDI QIDQ1872303

Maury Bramson, Thomas M. Liggett, 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/1039548366

zbMATH Keywords

exclusion processstationary measureblocking measure

Mathematics Subject Classification ID

Continuous-time Markov processes on general state spaces (60J25) Interacting particle systems in time-dependent statistical mechanics (82C22) Interacting random processes; statistical mechanics type models; percolation theory (60K35)

Related Items (10)

Stationary blocking measures for one-dimensional nonzero mean exclusion processes. ⋮ Exclusion processes in higher dimensions: stationary measures and convergence ⋮ Product blocking measures and a particle system proof of the Jacobi triple product ⋮ Two-Sided Infinite Systems of Competing Brownian Particles ⋮ Stationary distributions of the multi-type ASEP ⋮ Classification of stationary distributions for the stochastic vertex models ⋮ One dimensional nearest neighbor exclusion processes in inhomogeneous and random environ\-ments ⋮ On the equilibrium state of the one-dimensional near-symmetric simple exclusion process ⋮ The TASEP on Galton-Watson trees ⋮ Equilibrium interfaces of biased voter models

Cites Work

• Unnamed Item
• Hydrodynamic limit for attractive particle systems on \(\mathbb{Z}{}^ d\)
• Coupling the simple exclusion process
• The survival of contact processes
• Ergodic theorems for the asymmetric simple exclusion process II
• Blocking measures for asymmetric exclusion processes via coupling
• Stationary blocking measures for one-dimensional nonzero mean exclusion processes.

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