Probabilistic Cellular Automata for low temperature Ising model

Abstract

We construct a parallel stochastic dynamics with invariant measure converging to the Gibbs measure of the low temperature Ising model. The proof of such convergence requires a polymer expansion based on suitably defined Peierls-type contours.

References in corpus (2)

• Cluster expansion for abstract polymer models. New bounds from an old approach
• Stationary measures and phase transition for a class of probabilistic cellular automata

Cited by in corpus (7)

• Criticality of measures on 2-d Ising configurations: from square to hexagonal graphs
• Gaussian Mean Fields Lattice Gas
• Critical configurations and tube of typical trajectories for the Potts and Ising models with zero external field
• Metastability of the three-state Potts model with general interactions
• Metastability of synchronous and asynchronous dynamics
• Metastability for the degenerate Potts Model with positive external magnetic field under Glauber dynamics
• Effects of boundary conditions on irreversible dynamics