We prove large deviation principles (LDP) for the invariant measures of the multiclass totally asymmetric simple exclusion process (TASEP) and the multiclass Hammersley { Aldous { Diaconis (HAD) process on a torus. The proof is based on a combinatorial representation of the measures in terms of a collapsing procedure introduced in [2] for the 2-class TASEP and then generalized in [9], [10] and [11] to the multiclass TASEP and the multiclass HAD process. The rate functionals are written in terms of variational problems that we solve in the cases of 2-class processes.

From combinatorics to large deviations for the invariant measures of some multiclass particle systems

GABRIELLI, DAVIDE
2008-01-01

Abstract

We prove large deviation principles (LDP) for the invariant measures of the multiclass totally asymmetric simple exclusion process (TASEP) and the multiclass Hammersley { Aldous { Diaconis (HAD) process on a torus. The proof is based on a combinatorial representation of the measures in terms of a collapsing procedure introduced in [2] for the 2-class TASEP and then generalized in [9], [10] and [11] to the multiclass TASEP and the multiclass HAD process. The rate functionals are written in terms of variational problems that we solve in the cases of 2-class processes.
File in questo prodotto:
Non ci sono file associati a questo prodotto.
Pubblicazioni consigliate

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11697/13522
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus ND
  • ???jsp.display-item.citation.isi??? ND
social impact