Strict inequality for phase transition between ferromagnetic and frustrated systems.

De Santis, Emilio

Displaying similar documents to “Strict inequality for phase transition between ferromagnetic and frustrated systems.”

A monotonicity result for hard-core and Widom-Rowlinson models on certain $d$ -dimensional lattices.

Häggström, Olle (2002)

Electronic Communications in Probability [electronic only]

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Stationary measures and phase transition for a class of probabilistic cellular automata

Paolo Dai Pra, Pierre-Yves Louis, Sylvie Rœlly (2002)

ESAIM: Probability and Statistics

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We discuss various properties of Probabilistic Cellular Automata, such as the structure of the set of stationary measures and multiplicity of stationary measures (or phase transition) for reversible models.

On disagreement percolation and maximality of the critical value for iid percolation.

Jonasson, Johan (2001)

Electronic Journal of Probability [electronic only]

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Limit theorems for the painting of graphs by clusters

Olivier Garet (2001)

ESAIM: Probability and Statistics

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We consider a generalization of the so-called divide and color model recently introduced by Häggström. We investigate the behavior of the magnetization in large boxes of the lattice $ℤ^{d}$ and its fluctuations. Thus, Laws of Large Numbers and Central Limit Theorems are proved, both quenched and annealed. We show that the properties of the underlying percolation process deeply influence the behavior of the coloring model. In the subcritical case, the limit magnetization is deterministic and...