论文标题

$ q = 2 $的随机群集模型的相转换的清晰度的简短证明

Short proof of the sharpness of the phase transition for the random-cluster model with $q=2$

论文作者

Aoun, Yacine

论文摘要

这个适度的音符的目的是通过扩展duminil-copin和Tassion开发的方法以$ q = 1 $开发的方法来简短证明随机群集模型的相转换的锐度。这特别意味着亚临界模型中两个点相关函数的指数衰减。

The purpose of this modest note is to provide a short proof of the sharpness of the phase transition for the Random-cluster model with $q=2$ by extending the approach developed by Duminil-Copin and Tassion for $q=1$. This in particular implies the exponential decay of the two point-correlation function in the subcritical Ising model.

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