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The Generalized Sherrington-Kirkpatrick Model

Special Events

Speaker: Dmitry Panchenko, Massachusetts Institute of Technology
Location: 693 Kerr
Start time: Wed, Feb 9 2005, 4:10PM

"I will review some recent results in the Sherrington-Kirkpatrick (SK) mean field model and describe the extension of these results for a general class of SK-type models with spins distributed according to an arbitrary probability measure on the bounded subset of the real line and with external field term given by an arbitrary bounded function of the spin. I will present the analogue of the Parisi formula for these models, describe the replica symmetric region and talk about some properties of the Parisi functional."