Probabilistic Cellular Automata for low temperature Ising model
arXiv:1606.03638 · doi:10.1007/s10955-016-1661-2
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 (7)
- Cluster expansion for abstract polymer models. New bounds from an old approach
- Metastability for reversible probabilistic cellular automata with self--interaction
- Stationary measures and phase transition for a class of probabilistic cellular automata
- On the convergence of cluster expansions for polymer gases
- Equilibrium and non-equilibrium Ising models by means of PCA
- Some spin glass ideas applied to the clique problem
- Phase transitions for the cavity approach to the clique problem on random graphs
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