Toric tableaux and the inhomogeneous two-species TASEP on a ring

DOI10.1016/j.aam.2019.101958zbMath1429.05203arXiv1707.02663OpenAlexW2983512755MaRDI QIDQ2280358

Olya Mandelshtam

Publication date: 18 December 2019

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.02663

zbMATH Keywords

toric rhombic alternative tableaux

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10)

Related Items (6)

Non-equilibrium phase transition in the heterogenous TASEPs with binding and unbinding processes among the adjacent subsystems ⋮ Combinatorics of a disordered two-species ASEP on a torus ⋮ Bijection from multiline queues to rhombic tableaux for the inhomogeneous 2-TASEP ⋮ Schubert polynomials and the inhomogeneous TASEP on a ring ⋮ Walks in simplices, cylindric tableaux, and asymmetric exclusion processes ⋮ Cylindric rhombic tableaux and the two-species ASEP on a ring

Cites Work

• Multi-Catalan tableaux and the two-species TASEP
• Erratum to ``Tableaux combinatorics for the asymmetric exclusion process and Askey-Wilson polynomials
• An inhomogeneous multispecies TASEP on a ring
• Tableaux combinatorics of the two-species PASEP
• On the two species asymmetric exclusion process with semi-permeable boundaries
• Rhombic alternative tableaux and assemblées of permutations
• Combinatorics of the two-species ASEP and Koornwinder moments
• A combinatorial approach to jumping particles
• A determinantal formula for Catalan tableaux and TASEP probabilities
• Stationary distributions of multi-type totally asymmetric exclusion processes
• Tableaux combinatorics for the asymmetric exclusion process
• Two-species asymmetric simple exclusion process with open boundaries
• A Markov Chain on the Symmetric Group That Is Schubert Positive?
• Matrix product formula for Macdonald polynomials
• Exact solution of a 1D asymmetric exclusion model using a matrix formulation
• Matrix product solution of an inhomogeneous multi-species TASEP
• Phase transitions in the two-species totally asymmetric exclusion process with open boundaries
• A Markov Chain on Permutations which Projects to the PASEP

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