Free energy fluctuations of spherical spin glasses near the critical temperature threshold
Elizabeth Collins-Woodfin · Apr 12, 2024
Date: 2024-04-12 Time: 15:30-16:30 (Montreal time) Location: In person, Burnside 1104 https://mcgill.zoom.us/j/86957985232 Meeting ID: 869 5798 5232 Passcode: None Abstract: One of the fascinating phenomena of spin glasses is the dramatic change in behavior that occurs between the high and low temperature regimes. In addition to its physical meaning, this phase transition corresponds to a detection threshold with respect to the signal-to-noise ratio in a spiked matrix model. The free energy of the spherical Sherrington-Kirkpatrick (SSK) model has Gaussian fluctuations at high temperature, but Tracy-Widom fluctuations at low temperature.