Power law decay at criticality for the q-state antiferromagnetic Potts model on regular trees

发布时间:2023-07-09浏览次数:200

题目:Power law decay at criticality for the q-state antiferromagnetic Potts model on regular trees


报告人:顾陈琳(清华大学)

 

时间:7月10星期一),14:30-15:30

 

地点:明德楼B201-2讨论室

 

摘要:We present a proof of the power law decay of magnetic moment for the q-state antiferromagnetic Potts model on the regular tree at the critical temperature, and also justify that the exact exponent is $\frac{1}{2}$. Our proof relies on the assumption of the uniqueness at the critical temperature, which has been established for $q=3,4$, and for $q \geq 5$ with large degree. An iterative contraction inequality is developed for independent interests. This talk is based on a joint work with Wei Wu, Kuan Yang.


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