Hostname: page-component-cd9895bd7-hc48f Total loading time: 0 Render date: 2024-12-28T23:14:43.137Z Has data issue: false hasContentIssue false
  • English
  • Français

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

Part of: Time-dependent statistical mechanics (dynamic and nonequilibrium) Equilibrium statistical mechanics Representation theory of groups Special processes

Published online by Cambridge University Press:  19 August 2015

CALEY FINN
CALEY FINN*
Affiliation:
Department of Mathematics and Statistics, University of Melbourne, Victoria 3010, Australia email caleyreuben@gmail.com
Rights & Permissions [Opens in a new window]

Abstract

An abstract is not available for this content so a preview has been provided. As you have access to this content, a full PDF is available via the ‘Save PDF’ action button.
Image of the first page of this content. For PDF version, please use the ‘Save PDF’ preceeding this image.'

Keywords

statistical mechanicsexactly solvable modelsqueueing systemsHecke algebras

MSC classification

Primary: 82B23: Exactly solvable models; Bethe ansatz
Secondary: 82C22: Interacting particle systems 60K25: Queueing theory 20C08: Hecke algebras and their representations
Type
Abstracts of Australasian PhD Theses
Information
Bulletin of the Australian Mathematical Society , Volume 92 , Issue 3 , December 2015 , pp. 520 - 521
Copyright
© 2015 Australian Mathematical Publishing Association Inc. 

References

de Gier, J. and Finn, C., ‘Exclusion in a priority queue’, J. Stat. Mech. 2014 (2014), P07014.CrossRefGoogle Scholar
de Gier, J., Finn, C. and Sorrell, M., ‘The relaxation rate of the reverse-biased asymmetric exclusion process’, J. Phys. A 44 (2011), 405002.CrossRefGoogle Scholar
de Gier, J. and Pyatov, P., ‘Factorised solutions of Temperley–Lieb qKZ equations on a segment’, Adv. Theor. Math. Phys. 14 (2010), 795–877.CrossRefGoogle Scholar
Kleinrock, L., ‘A delay dependent queue discipline’, Naval Res. Logist. Quart. 11(3–4) (1964), 329–341.CrossRefGoogle Scholar
Spitzer, F., ‘Interaction of Markov processes’, Adv. Math. 5(2) (1970), 246–290.CrossRefGoogle Scholar
Stanford, D. A., Taylor, P. and Ziedins, I., ‘Waiting time distributions in the accumulating priority queue’, Queueing Syst. 77(3) (2014), 297–330.CrossRefGoogle Scholar