Continuous multi-line queues and TASEP
Annales de l’Institut Henri Poincaré D, Tome 5 (2018) no. 1, pp. 127-152.

In this paper, we study a distribution Ξ of labeled particles on a continuous ring. It arises in three di�fferent 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.

Accepté le :
Publié le :
DOI : 10.4171/aihpd/50
Classification : 60-XX, 82-XX
Mots-clés : TASEP, exclusion process, multiline queue 
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     author = {Aas, Erik and Linusson, Svante},
     title = {Continuous multi-line queues and {TASEP}},
     journal = {Annales de l{\textquoteright}Institut Henri Poincar\'e D},
     pages = {127--152},
     volume = {5},
     number = {1},
     year = {2018},
     doi = {10.4171/aihpd/50},
     mrnumber = {3760885},
     zbl = {1405.60138},
     language = {en},
     url = {http://www.numdam.org/articles/10.4171/aihpd/50/}
}
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Aas, Erik; Linusson, Svante. Continuous multi-line queues and TASEP. Annales de l’Institut Henri Poincaré D, Tome 5 (2018) no. 1, pp. 127-152. doi : 10.4171/aihpd/50. http://www.numdam.org/articles/10.4171/aihpd/50/

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