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Continuous multi-line queues and TASEP
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.).
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.).ORCID iD: 0000-0001-6339-2230
2018 (English)In: ANNALES DE L INSTITUT HENRI POINCARE D, ISSN 2308-5827, Vol. 5, no 1, p. 127-152Article in journal (Refereed) Published
Abstract [en]

In this paper, we study a distribution Xi of labeled particles on a continuous ring. It arises in three different ways, all related to the multi-type TASEP on a ring. We prove formulas for the probability density function for some permutations and give conjectures for a larger class. We give a complete conjecture for the probability of two particles i, j being next to each other on the cycle, for which we prove some cases. We also find that two natural events associated to the process have exactly the same probability expressed as a Vandermonde determinant. It is unclear whether this is just a coincidence or a consequence of a deeper connection.

Place, publisher, year, edition, pages
EUROPEAN MATHEMATICAL SOC , 2018. Vol. 5, no 1, p. 127-152
Keyword [en]
TASEP, exclusion process, multiline queue
National Category
Geometry
Identifiers
URN: urn:nbn:se:kth:diva-225330DOI: 10.4171/AIHPD/50ISI: 000425844000004Scopus ID: 2-s2.0-85042924103OAI: oai:DiVA.org:kth-225330DiVA, id: diva2:1194618
Note

QC 20180403

Available from: 2018-04-03 Created: 2018-04-03 Last updated: 2018-04-03Bibliographically approved

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