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Journal articles
Matrix product solution to an inhomogeneous multi-species TASEP
Abstract : We study a multi-species exclusion process with inhomogeneous hopping rates and find a matrix product representation for the stationary state of this model. The matrices belong to the tensor algebra of the fundamental quadratic algebra associated with the exclusion process. We show that our matrix product representation is equivalent to a graphical construction proposed by Ayyer and
Linusson (2012 arXiv:1206.0316), which generalizes an earlier probabilistic construction due to Ferrari and Martin (2007 Ann. Prob. 35 807).
Cited literature [18 references]
https://hal-cea.archives-ouvertes.fr/cea-02923903
Contributor : Bruno Savelli <>
Submitted on : Thursday, August 27, 2020 - 3:20:57 PM
Last modification on : Wednesday, April 14, 2021 - 12:12:15 PM
Long-term archiving on: : Saturday, November 28, 2020 - 12:43:51 PM
Contributor : Bruno Savelli <>
Submitted on : Thursday, August 27, 2020 - 3:20:57 PM
Last modification on : Wednesday, April 14, 2021 - 12:12:15 PM
Long-term archiving on: : Saturday, November 28, 2020 - 12:43:51 PM
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