Tuesday, September 11, 2012

1209.1913 (Chikashi Arita et al.)

Matrix product solution to an inhomogeneous multi-species TASEP    [PDF]

Chikashi Arita, Kirone Mallick
We study a multi-species exclusion process with inhomogeneous hopping rates. This model is equivalent to a Markov chain on the symmetric group that corresponds to a random walk in the affine braid arrangement. We find a matrix product representation for the stationary state of this model. We also show that it is equivalent to a graphical construction proposed by Ayyer and Linusson, which generalizes Ferrari and Martin's construction.
View original: http://arxiv.org/abs/1209.1913

No comments:

Post a Comment