Probability Seminar—Existence of Full Replica Symmetry Breaking for the Sherrington-Kirkpatrick Model at Low Temperature
报告人：周雨欣（University of Chicago）
时间：2025-06-16 15:30-16:30
地点：智华楼-四元厅
Abstract：
The Sherrington–Kirkpatrick (SK) model is a well-known model for spin glasses originated in physics. In a series of ground-breaking articles by Giorgio Parisi proposed in 1979, it was predicted that the limiting free energy of the SK model is given by a variational principle, known as the Parisi formula and its minimizer, known as the Parisi measure will be full replica symmetry breaking (FRSB) at low temperature. The former one was confirmed in the past decade. However the existence of FRSB has not been established before. In this talk, I will show that the Parisi measure of the SK model is FRSB slightly beyond the high temperature. I will also talk about the structure of the corresponding Parisi measure.
Bio：
Yuxin Zhou is currently a Kruskal instructor at the University of Chicago. Before that, she obtained her Ph.D. in 2023 from Northwestern University under the supervision of Prof. Antonio Auffinger. Her research interests lie in probability theory and mathematical physics. She is currently working on spin glasses and random matrices.
