On the equilibrium state of the one-dimensional near-symmetric simple exclusion process

DOI10.1016/j.spl.2014.12.001zbMath1328.60224OpenAlexW2055033526MaRDI QIDQ2018613

Yanyan Li

Publication date: 24 March 2015

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spl.2014.12.001

zbMATH Keywords

weak convergencelimit distributionBernoulli measureequilibrum statenear-symmetric simple exclusion process

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Interacting random processes; statistical mechanics type models; percolation theory (60K35)

Cites Work

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• The motion of a tagged particle in the simple symmetric exclusion system on Z
• Central limit theorem for additive functionals of reversible Markov processes and applications to simple exclusions
• Central limit theorems for infinite series of queues and applications to simple exclusion
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• Coupling the simple exclusion process
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• Characterization of stationary measures for one-dimensional exclusion processes.
• Microscopic structure of travelling waves in the asymmetric simple exclusion process
• Exclusion processes in higher dimensions: stationary measures and convergence
• Asymptotic behavior of a tagged particle in simple exclusion processes
• Recurrent Random Walk of an Infinite Particle System
• Ergodic Theorems for the Asymmetric Simple Exclusion Process
• Fluctuations in Markov Processes