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The worm algorithm for the Ising model is rapidly mixing

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arxiv 1409.4484 v1 pith:5MZWGGTT submitted 2014-09-16 math-ph cond-mat.stat-mechcs.DMmath.COmath.MPmath.PR

The worm algorithm for the Ising model is rapidly mixing

classification math-ph cond-mat.stat-mechcs.DMmath.COmath.MPmath.PR
keywords isingalgorithmmixingmodelwormapproximationconstructcorollary
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We prove rapid mixing of the Prokofiev-Svistunov (or worm) algorithm for the zero-field ferromagnetic Ising model, on all finite graphs and at all temperatures. As a corollary, we show how to rigorously construct simple and efficient approximation schemes for the Ising susceptibility and two-point correlation function.

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