Title：Power law decay at criticality for the q-state antiferromagnetic Potts model on regular trees
Speaker：Chenlin Gu（Tsinghua University）
Time：Monday, July10, 14:30-15:30
Location：Mingde Building, B201-2
Abstract: 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.
