Probability Seminar
Thursday, February 18, 2016, 4:30pm, 119 Physics
Antonio Auffinger (Northwestern University)
The Parisi Formula: duality and equivalence of ensembles.
Abstract:
In 1979, G. Parisi predicted a variational formula for the thermodynamic limit of the free energy in the Sherrington-Kirkpatrick model and described the role played by its minimizer, called the Parisi measure. This remarkable formula was proven by Talagrand in 2006. In this talk I will explain a new representation of the Parisi functional that finally connects the temperature parameter and the Parisi measure as dual parameters. Based on joint-works with Wei-Kuo Chen. [video]

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