偏微分方程研讨班：Local Central Limit Theorem for long-range potentials with continuous spins

中科院数学与系统科学研究院

数学研究所

学术报告

偏微分方程研讨班

报告人： Nguyen Tong Xuan(NYU Shanghai )

题  目：Local Central Limit Theorem for long-range potentials with continuous spins

时  间：2024.05.27（星期一）9:30-10:30

地  点：S813

摘 要：We prove the integral central limit theorem implies the local central limit theorem for potentials with long-range interactions on the lattice Zd where the state space is compact and also the set of real numbers. The proof works for any temperature. Our method relies on the control of certain characteristic functions on three different regions. This talk is based on the joint work with R. Fernandez, Eric O. Endo, and Vlad Margarint.