Graphical Proof of Ginibre’s Inequality

Abstract 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.

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Publication Details

Journal
Journal of Statistical Physics
Published
2025-02-03
DOI
https://doi.org/10.1007/s10955-024-03378-6
Primary Topic
Mathematics and Applications
Type
article
Field-Weighted Citation Impact
0.00

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article

Graphical Proof of Ginibre’s Inequality

Yuki Tokushige
Journal of Statistical Physics
Mathematics and Applications
article

Graphical Proof of Ginibre’s Inequality

Yuki Tokushige
article en

Abstract

Abstract 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.

Journal of Statistical PhysicsVol. 192(2)
Technische Universität Braunschweig (DE)
Technische Universität Braunschweig
Openalex Percentile: Top 96%
Mathematics and Applications
DOIOpen Access PDFOpenAlex
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Graphical Proof of Ginibre’s Inequality — Yuki Tokushige · Journal of Statistical Physics (2025) | TGRS Research Map | TGRS