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The worm process for the Ising model is rapidly mixing

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arxiv 1509.03201 v1 pith:HJQKV3OH submitted 2015-09-10 math.PR cond-mat.stat-mechmath-phmath.COmath.MP

The worm process for the Ising model is rapidly mixing

classification math.PR cond-mat.stat-mechmath-phmath.COmath.MP
keywords isingmixingmodelprocesswormapproximationcertainconnected
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We prove rapid mixing of the worm process for the zero-field ferromagnetic Ising model, on all finite connected graphs, and at all temperatures. As a corollary, we obtain a fully-polynomial randomized approximation scheme for the Ising susceptibility, and for a certain restriction of the two-point correlation function

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