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arxiv: 1508.07769 · v1 · pith:462W6K6Cnew · submitted 2015-08-31 · 🧮 math.PR

Metastability for the Ising Model on the hypercube

classification 🧮 math.PR
keywords configurationdynamicshypercubeisingmodeltimevertexasymptotic
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We consider Glauber dynamics for the low-temperature, ferromagnetic Ising Model set on the n-dimensional hypercube. We derive precise asymptotic results for the crossover time (the time it takes for the dynamics to go from the configuration with a "-1" at every vertex, to the configuration with a "+1" at each vertex) in the limit as the inverse temperature $\beta\rightarrow\infty$.

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