The stationary measure of a 2-type totally asymmetric exclusion process.

DOI10.1016/j.jcta.2005.05.004zbMath1087.60067arXivmath/0501005OpenAlexW2009560547MaRDI QIDQ2490860

Omer Angel

Publication date: 18 May 2006

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0501005

zbMATH Keywords

exclusion process

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Combinatorial probability (60C05)

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Cites Work

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• Brownian analogues of Burke's theorem.
• A combinatorial approach to jumping particles
• Invariant measures for a two-species asymmetric process
• Microscopic structure of travelling waves in the asymmetric simple exclusion process
• Stationary distributions of multi-type totally asymmetric exclusion processes
• Exact solution of the totally asymmetric simple exclusion process: shock profiles
• Mixing times of the biased card shuffling and the asymmetric exclusion process
• The Output of a Queuing System

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