The LA Probability Forum, Held at UCLA

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The LA Probability Forum 3-4pm: Informal meet & greet at the Kerckhoff Coffee House 4pm: Brice Huang(Stanford): Fluctuations of the Sherrington-Kirkpatrick free energy at critical temperature Abstract: We consider the Sherrington--Kirkpatrick spin glass model at the critical inverse temperature $\beta = 1$ with zero external field. We prove that the free energy of this model has variance (1/6) \log N + O(1) confirming a physics prediction of Aspelmeier (2008), and that the centered and scaled free energy satisfies a Gaussian CLT. We also identify the critical two-replica overlap scale…

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