We prove, in all dimensions, that for a stationary Gibbs state with finite range or rapidly decreasing interaction, there is at most one infinite percolation cluster. This implies that the connectivity function is bounded away from 0

Uniqueness of the infinite cluster for stationary Gibbs states / A. Gandolfi. - In: ANNALS OF PROBABILITY. - ISSN 0091-1798. - STAMPA. - 17:(1989), pp. 1403-1415. [10.1214/aop/1176991161]

Uniqueness of the infinite cluster for stationary Gibbs states

GANDOLFI, ALBERTO
1989

Abstract

We prove, in all dimensions, that for a stationary Gibbs state with finite range or rapidly decreasing interaction, there is at most one infinite percolation cluster. This implies that the connectivity function is bounded away from 0
1989
17
1403
1415
A. Gandolfi
File in questo prodotto:
Non ci sono file associati a questo prodotto.

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

Utilizza questo identificatore per citare o creare un link a questa risorsa: https://hdl.handle.net/2158/655672
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus ND
  • ???jsp.display-item.citation.isi??? 3
social impact