A Markov Chain on Permutations which Projects to the PASEP

DOI10.1093/imrn/rnm055zbMath1132.60070arXivmath/0609188OpenAlexW2007192979MaRDI QIDQ5428204

Publication date: 28 November 2007

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0609188

zbMATH Keywords

permutation tableaux matrix ansatz partially asymmetric exclusion process

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Interacting random processes; statistical mechanics type models; percolation theory (60K35)

Related Items (25)

Permutation statistics and weak Bruhat order in permutation tableaux of type \(B\) ⋮ Combinatorial mappings of exclusion processes ⋮ Crossings and alignments of permutations ⋮ EW-tableaux, Le-tableaux, tree-like tableaux and the abelian sandpile model ⋮ The parity of the number of permutation tableaux in a fixed shape ⋮ Combinatorics of the two-species ASEP and Koornwinder moments ⋮ Asymmetric simple exclusion process with open boundaries and quadratic harnesses ⋮ Dyck tableaux ⋮ Erratum to ``Tableaux combinatorics for the asymmetric exclusion process and Askey-Wilson polynomials ⋮ Linked partitions and permutation tableaux ⋮ Tree-like tableaux ⋮ Combinatorics on permutation tableaux of type A and type B ⋮ Greek letters in random staircase tableaux ⋮ Block decomposition and statistics arising from permutation tableaux ⋮ A bijection from staircase tableaux to inversion tables, giving some Eulerian and Mahonian statistics ⋮ On the sign-imbalance of permutation tableaux ⋮ The structure of alternative tableaux ⋮ Enumerations of permutations by circular descent sets ⋮ Toric tableaux and the inhomogeneous two-species TASEP on a ring ⋮ Tableaux combinatorics of the two-species PASEP ⋮ Corners in tree-like tableaux ⋮ Bijections for permutation tableaux ⋮ Formulae for Askey-Wilson moments and enumeration of staircase tableaux ⋮ Combinatorics of the 2-species exclusion processes, marked Laguerre histories, and partially signed permutations ⋮ Lumpings of algebraic Markov chains arise from subquotients

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