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<p>In this short note, we will give a new combinatorial proof of Ginibre’s inequality for XY models. Our proof is based on multigraph representations introduced by van Engelenburg-Lis (2023) and a new combinatorial bijection.</p>

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Graphical Proof of Ginibre’s Inequality

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年2月3日

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  • Yuki Tokushige

摘要

In this short note, we will give a new combinatorial proof of Ginibre’s inequality for XY models. Our proof is based on multigraph representations introduced by van Engelenburg-Lis (2023) and a new combinatorial bijection.