Graphical proof of Ginibre's inequality
Probability
2024-11-01 v3 Mathematical Physics
math.MP
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.
Cite
@article{arxiv.2406.08944,
title = {Graphical proof of Ginibre's inequality},
author = {Yuki Tokushige},
journal= {arXiv preprint arXiv:2406.08944},
year = {2024}
}
Comments
7 pages, 1 figure, comments are welcome. deleted the last section