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arXiv · 1710.10644

Percolation without FKG

Vincent Beffara·Damien Gayet
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Abstract

We prove a Russo-Seymour-Welsh theorem for the antiferromagnetic Ising model with small parameter on a regular enough periodic planar triangulation. More generally we prove that the box-crossing property extends to a neighborhood of the product measure among certain families of discrete percolation models that do not necessarily satisfy the Fortuin-Kasteleyn-Ginibre condition of positive association.

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Vincent Beffara, Damien Gayet. 2017-10-29. Percolation without FKG. https://arxiv.org/abs/1710.10644

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