A combinatorial approach to jumping particles: The parallel TASEP

DOI10.1002/rsa.20229zbMath1228.05033OpenAlexW4234492408MaRDI QIDQ3608303

Enrica Duchi, Gilles Schaeffer

Publication date: 4 March 2009

Published in: Random Structures and Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/rsa.20229

zbMATH Keywords

totally asymmetric simple exclusion processstationary distributioncombinatorial interpretationCatalan numbersTASEPdiscrete Markov chain

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10)

Related Items

An inhomogeneous multispecies TASEP on a ring ⋮ On the blockage problem and the non-analyticity of the current for parallel TASEP on a ring

Cites Work

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• Traffic flow: A statistical physics point of view
• A combinatorial derivation of the PASEP stationary state
• Exact solution of a cellular automaton for traffic
• An exact solution of a one-dimensional asymmetric exclusion model with open boundaries
• Tableaux combinatorics for the asymmetric exclusion process
• The stationary measure of a 2-type totally asymmetric exclusion process.
• Finite Markov Chains and Algorithmic Applications
• Exact solution of a 1D asymmetric exclusion model using a matrix formulation

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