Correlations in the multispecies TASEP and a conjecture by Lam

DOI10.1090/tran/6806zbMath1350.05002arXiv1404.6679OpenAlexW3099650453WikidataQ122930688 ScholiaQ122930688MaRDI QIDQ2833010

Arvind Ayyer, Svante Linusson

Publication date: 16 November 2016

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1404.6679

zbMATH Keywords

independence property

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Permutations, words, matrices (05A05) Interacting particle systems in time-dependent statistical mechanics (82C22) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Reflection and Coxeter groups (group-theoretic aspects) (20F55)

Related Items (4)

Stationary distributions of the multi-type ASEP ⋮ The size of \(t\)-cores and hook lengths of random cells in random partitions ⋮ The phase diagram for a multispecies left-permeable asymmetric exclusion process ⋮ The shape of a random affine Weyl group element and random core partitions

Cites Work

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• An inhomogeneous multispecies TASEP on a ring
• The motion of a second class particle for the TASEP starting from a decreasing shock profile
• The TASEP speed process
• Collision probabilities in the rarefaction fan of asymmetric exclusion processes
• Continuous multi-line queues and TASEP
• Shape fluctuations and random matrices
• The shape of a random affine Weyl group element and random core partitions
• Stationary distributions of multi-type totally asymmetric exclusion processes
• A product formula for the TASEP on a ring
• Combinatorics of Coxeter Groups
• Affine insertion and Pieri rules for the affine Grassmannian
• Non-equilibrium behaviour of a many particle process: Density profile and local equilibria

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