scholarly journals A Manifold of Pure Gibbs States of the Ising Model on the Lobachevsky Plane

2014 ◽  
Vol 334 (1) ◽  
pp. 313-330 ◽  
Author(s):  
Daniel Gandolfo ◽  
Jean Ruiz ◽  
Senya Shlosman
Keyword(s):  
Ising Model ◽  
Gibbs States ◽  
Lobachevsky Plane

scholarly journals Applications of the stochastic Ising model to the Gibbs states

1976 ◽  
Vol 48 (3) ◽  
pp. 249-265 ◽  
Author(s):  
Richard A. Holley ◽  
Daniel W. Stroock
Keyword(s):  
Ising Model ◽  
Gibbs States ◽  
Stochastic Ising Model

Følner Independence and the amenable Ising model

1992 ◽  
Vol 12 (4) ◽  
pp. 633-657 ◽  
Author(s):  
Scot Adams
Keyword(s):  
Ising Model ◽  
Stationary Process ◽  
Amenable Group ◽  
Gibbs States ◽  
Følner Sets

AbstractWe define a criterion called Følner Independence for a stationary process over an amenable group. Intuitively, a process satisfies the criterion if, for sufficiently invariant Følner sets, the process in the Følner set is nearly independent of the process outside. We show that Følner Independence implies Finitely Determined. As an application, we show that, in its extreme Gibbs states, the amenable attractive Ising model is Følner Independent (hence Finitely Determined, hence Bernoulli).

scholarly journals A Manifold of Pure Gibbs States of the Ising Model on a Cayley Tree

2012 ◽  
Vol 148 (6) ◽  
pp. 999-1005 ◽  
Author(s):  
Daniel Gandolfo ◽  
Jean Ruiz ◽  
Senya Shlosman
Keyword(s):  
Ising Model ◽  
Cayley Tree ◽  
Gibbs States

Random infinite-volume Gibbs states for the Curie-Weiss random field Ising model

1992 ◽  
Vol 66 (1-2) ◽  
pp. 139-164 ◽  
Author(s):  
J. M. G. Amaro de Matos ◽  
A. E. Patrick ◽  
V. A. Zagrebnov
Keyword(s):  
Ising Model ◽  
Random Field ◽  
Gibbs States ◽  
Infinite Volume ◽  
Random Field Ising Model

Description of limit gibbs states for Curie-Weiss-Ising model

1986 ◽  
Vol 66 (1) ◽  
pp. 72-80 ◽  
Author(s):  
I. G. Brankov ◽  
V. A. Zagrebnov ◽  
N. S. Tonchev
Keyword(s):  
Ising Model ◽  
Gibbs States
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