A combinatorial approach to jumping particles II: general boundary conditions
Duchi, Enrica ; Schaeffer, Gilles
HAL, hal-00159627 / Harvested from HAL
Text on HAL
We consider a model of particles jumping on a row, the TASEP. From the point of view of combinatorics a remarkable feauture of this Markov chain is that Catalan numbers are involved in several entries of its stationary distribution. In a companion paper, we gave a combinatorial interpretaion and a simple proof of these observations in the simplest case where the particles enter, jump and exit at the same rate. In this paper we show how to deal with general rates.
Publié le : 2004-07-05
Classification:  [MATH.MATH-CO]Mathematics [math]/Combinatorics [math.CO] 
@article{hal-00159627,
     author = {Duchi, Enrica and Schaeffer, Gilles},
     title = {A combinatorial approach to jumping particles II: general boundary conditions},
     journal = {HAL},
     volume = {2004},
     number = {0},
     year = {2004},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00159627}
}

Duchi, Enrica; Schaeffer, Gilles. A combinatorial approach to jumping particles II: general boundary conditions. HAL, Tome 2004 (2004) no. 0, . http://gdmltest.u-ga.fr/item/hal-00159627/