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arxiv: 1606.03638 · v2 · pith:QXAWYWFEnew · submitted 2016-06-11 · 🧮 math-ph · math.MP

Probabilistic Cellular Automata for low temperature Ising model

classification 🧮 math-ph math.MP
keywords isingmeasuremodeltemperatureautomatacellularconstructcontours
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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.

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