ONE-DIMENSIONAL STOCHASTIC MODELS WITH OPEN BOUNDARIES: INTEGRABILITY, APPLICATIONS AND -DEFORMED KNIZHNIK–ZAMOLODCHIKOV EQUATIONS

DOI10.1017/S0004972715001033zbMATH Open1333.82010OpenAlexW2149140280MaRDI QIDQ3458396

Caley Finn

Publication date: 18 December 2015

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972715001033

zbMATH Keywords

Hecke algebrasstatistical mechanicsqueueing systemsexactly solvable models

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Interacting particle systems in time-dependent statistical mechanics (82C22) Queueing theory (aspects of probability theory) (60K25) Exactly solvable models; Bethe ansatz (82B23) PDEs in connection with statistical mechanics (35Q82)

Cites Work

• Waiting time distributions in the accumulating priority queue
• Factorised solutions of Temperley-Lieb \(q\)KZ equations on a segment
• Interaction of Markov processes
• The relaxation rate of the reverse-biased asymmetric exclusion process
• A delay dependent queue discipline

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