Some properties of k-step exclusion processes

Hervé Guiol (1)

1 TIMC-IMAG - Techniques de l'Ingénierie Médicale et de la Complexité - Informatique, Mathématiques et Applications, Grenoble - UMR 5525

We introduce k-step exclusion processes as generalizations of the simple exclusion process. We state their main equilibrium properties when the underlying stochastic matrix corresponds to a random walk or is positive recurrent and reversible. Finally, we prove laws of large numbers for tagged and second-class particles.

Mots clés: interacting particle systems; invariant measures; tagged particle; second-class particle; exclusion process; k-step exclusion process

Domaines: Probabilités [math.PR]

Hervé Guiol. Some properties of k-step exclusion processes. Journal of Statistical Physics, 1999, 94 (3-4), pp.495-511. ⟨10.1023/A:1004548321062⟩. ⟨hal-00273547⟩