A combinatorial derivation of the PASEP stationary state

zbMath1110.60028MaRDI QIDQ870031

Robert Parviainen, Andrew Rechnitzer, Richard Brak, Sylvie Corteel, J. W. Essam

Publication date: 12 March 2007

Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/127238

Mathematics Subject Classification ID

Stationary stochastic processes (60G10) Enumerative combinatorics (05A99)

Related Items (17)

Stationary measures of the KPZ equation on an interval from Enaud–Derrida’s matrix product ansatz representation ⋮ Combinatorial mappings of exclusion processes ⋮ Crossings and alignments of permutations ⋮ Matrix representation of the stationary measure for the Multispecies TASEP ⋮ Quasi-static limit for the asymmetric simple exclusion ⋮ The parity of the number of permutation tableaux in a fixed shape ⋮ Combinatorics of the two-species ASEP and Koornwinder moments ⋮ Erratum to ``Tableaux combinatorics for the asymmetric exclusion process and Askey-Wilson polynomials ⋮ Fluctuations of random Motzkin paths ⋮ Linked partitions and permutation tableaux ⋮ Mixing times for the simple exclusion process with open boundaries ⋮ Mixing times for the TASEP in the maximal current phase ⋮ Block decomposition and statistics arising from permutation tableaux ⋮ Tableaux combinatorics for the asymmetric exclusion process ⋮ On the sign-imbalance of permutation tableaux ⋮ The Matrix Ansatz, orthogonal polynomials, and permutations ⋮ A combinatorial approach to jumping particles: The parallel TASEP

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