We study the Random Cluster Model on Z(d) supercript stop for p near either 0 or 1 and for all q > 0 and we prove by mean of cluster expansion methods the analyticity of the pressure and finite connectivities in both regimes. These results are valid also in the regime q < 1 and they imply that percolation probability is strictly less than 1.

Procacci, A., Scoppola, B. (2006). Analyticity and mixing properties for random cluster model with q > 0 on Z(d). JOURNAL OF STATISTICAL PHYSICS, 123(6), 1285-1310 [10.1007/s10955-006-9117-8].

Analyticity and mixing properties for random cluster model with q > 0 on Z(d)

SCOPPOLA, BENEDETTO
2006-01-01

Abstract

We study the Random Cluster Model on Z(d) supercript stop for p near either 0 or 1 and for all q > 0 and we prove by mean of cluster expansion methods the analyticity of the pressure and finite connectivities in both regimes. These results are valid also in the regime q < 1 and they imply that percolation probability is strictly less than 1.
2006
Pubblicato
Rilevanza internazionale
Articolo
Sì, ma tipo non specificato
Settore MAT/07 - FISICA MATEMATICA
English
Con Impact Factor ISI
Cluster expansion; Random cluster model
Procacci, A., Scoppola, B. (2006). Analyticity and mixing properties for random cluster model with q > 0 on Z(d). JOURNAL OF STATISTICAL PHYSICS, 123(6), 1285-1310 [10.1007/s10955-006-9117-8].
Procacci, A; Scoppola, B
Articolo su rivista
File in questo prodotto:
Non ci sono file associati a questo prodotto.

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/2108/39151
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 2
  • ???jsp.display-item.citation.isi??? 2
social impact