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Multivariate Eulerian Polynomials and Exclusion Processes
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).ORCID iD: 0000-0003-1055-1474
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.).
2016 (English)In: Combinatorics, probability & computing, ISSN 0963-5483, E-ISSN 1469-2163, Vol. 25, no 4, 486-499 p.Article in journal (Refereed) PublishedText
Abstract [en]

We give a new combinatorial interpretation of the stationary distribution of the (partially) asymmetric exclusion process on a finite number of sites in terms of decorated alternative trees and coloured permutations. The corresponding expressions of the multivariate partition functions are then related to multivariate generalisations of Eulerian polynomials for coloured permutations considered recently by N. Williams and the third author, and others. We also discuss stability and negative dependence properties satisfied by the partition functions.

Place, publisher, year, edition, pages
Cambridge University Press, 2016. Vol. 25, no 4, 486-499 p.
Keyword [en]
Probability, Asymmetric exclusion process, Dependence properties, Eulerian polynomial, Exclusion process, Finite number, Partition functions, Stationary distribution, Williams
National Category
Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-187219DOI: 10.1017/S0963548316000031ISI: 000377906700001ScopusID: 2-s2.0-84961214714OAI: oai:DiVA.org:kth-187219DiVA: diva2:929240
Funder
Knut and Alice Wallenberg Foundation
Note

QC 20160719

Available from: 2016-05-18 Created: 2016-05-18 Last updated: 2016-07-19Bibliographically approved

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