TASEP in any Weyl group
(English)Manuscript (preprint) (Other academic)
We investigate a Markov chain dened by Thomas Lam , whichgeneralizes the multi-type TASEP on a ring to any Weyl group. For groups of typeC we dene an analogue of the multiline queues of Ferrari and Martin (which com-pute the stationary distribution for the classical TASEP). While our constructiondoes not suce for nding the stationary distribution, the construction gives thestationary distribution of a certain projection of Lam's chain. Also, our approach isincremental, in the sense that the construction appears to t into a pattern of 'con-jugation matrices', which remains to be fully worked out. We conjecture an explicitformula for the partition function of the model. Finally, we prove a theorem for theclassical TASEP which ts into the picture of viewing TASEP in a permutation-freeway.
IdentifiersURN: urn:nbn:se:kth:diva-156859OAI: oai:DiVA.org:kth-156859DiVA: diva2:768230
QS 20142014-12-032014-12-032014-12-04Bibliographically approved