Local Central Limit Theorem for Long-range Potentials with Continuous Spins
Time: 2024-06-17
Published By: He Liu
Speaker(s): Tong Xuan Nguyen (NYU Shanghai)
Time: 16:00-17:00 June 19, 2024
Venue: Online
We prove that the integral central limit theorem implies the local central limit theorem for potentials with long-range interactions on the lattice Z^d 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.
Zoom Meeting: https://nyu.zoom.us/j/98722179686?pwd=ulbLNRqrnADuhZ6XIRl5wCpaKbS6ck.1
Meeting ID: 987 2217 9686
Passcode: 650894
