A system of infinite spins in one dimension is considered. The interaction is given by a pair potential — JxySxSy, where Sx, Sy are the spins at the sites x,yeZ and Jxy = J(\x — y\) where J(|x — y\) decreases asymptotically in an integrable way. The self-interaction makes the system superstable. It is proven that any invariant DLR measure for this system satisfies Ruelle's superstable estimates (regularity condition).

One dimensional DLR measures are regular

DE MASI, Anna
1979-01-01

Abstract

A system of infinite spins in one dimension is considered. The interaction is given by a pair potential — JxySxSy, where Sx, Sy are the spins at the sites x,yeZ and Jxy = J(\x — y\) where J(|x — y\) decreases asymptotically in an integrable way. The self-interaction makes the system superstable. It is proven that any invariant DLR measure for this system satisfies Ruelle's superstable estimates (regularity condition).
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/11697/5491
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 3
  • ???jsp.display-item.citation.isi??? ND
social impact