A combinatorial approach to jumping particles: the parallel TASEP

Enrica Duchi (1) , Gilles Schaeffer (2)

1 LIAFA - Laboratoire d'informatique Algorithmique : Fondements et Applications
2 LIX - Laboratoire d'informatique de l'École polytechnique [Palaiseau]

In this paper we continue the combinatorial study of the TASEP. We consider here the parallel TASEP, in which particles jump simultaneously. We offer here an elementary derivation that extends the combinatorial approach we developed for the standard TASEP. In particular we show that this stationary distribution can be expressed in terms of refinements of Catalan numbers.

Domaines: Combinatoire [math.CO]

Enrica Duchi, Gilles Schaeffer. A combinatorial approach to jumping particles: the parallel TASEP. 2005, pp.12. ⟨hal-00159636⟩