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Fluctuations of the 2-spin spherical Sherrington Kirkpatrick model
Probability| Speaker: | Benjamin Landon, MIT |
| Related Webpage: | http://math.mit.edu/~blandon/ |
| Location: | Zoom |
| Start time: | Wed, Feb 24 2021, 4:10PM |
The 2-spin spherical Sherrington Kirkpatrick (SSK) model was introduced by Kosterlitz, Thouless and Jones as a simplification of the usual Sherrington-Kirkpatrick model with Ising spins. The SSK model admits tractable formulas for many of its observables, allowing for a detailed analysis of its fluctuations using techniques from random matrix theory. We discuss recent results on the fluctuations of the SSK model with a magnetic field as well as at critical temperature. Based on joint work with P. Sosoe.