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arXiv · 2106.15992

Perfect Sampling in Infinite Spin Systems via Strong Spatial Mixing

Konrad Anand·Mark Jerrum
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Abstract

We present a simple algorithm that perfectly samples configurations from the unique Gibbs measure of a spin system on a potentially infinite graph $G$. The sampling algorithm assumes strong spatial mixing together with subexponential growth of $G$. It produces a finite window onto a perfect sample from the Gibbs distribution. The run-time is linear in the size of the window.

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Konrad Anand, Mark Jerrum. 2021-06-30. Perfect Sampling in Infinite Spin Systems via Strong Spatial Mixing. https://arxiv.org/abs/2106.15992

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