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arXiv · 1712.08736

Circle patterns and critical Ising models

Marcin Lis
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Abstract

A circle pattern is an embedding of a planar graph in which each face is inscribed in a circle. We define and prove magnetic criticality of a new family of Ising models on planar graphs whose dual is a circle pattern. Our construction includes as a special case the critical isoradial Ising models of Baxter.

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Marcin Lis. 2019-08-08. Circle patterns and critical Ising models. https://arxiv.org/abs/1712.08736

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