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日(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.