CRM: Centro De Giorgi
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Special week on Non-equilibrium statistical mechanics and spin glasses

course: A survey of recent rigorous results in mean field spin glass

speaker: Francesco Guerra (Università di Roma)

abstract: We give a complete account about methods and results in the rigorous study of mean field spin glass theories. These include the infinite volume limit, the description of the spontaneous replica symmetry breaking phenomenon, with the establishment of bounds on the free energy and the ground state energy, and the parameter flow method for the study of the high temperature region. All these findings fully confirm the results obtained through the Parisi Ansatz, in the frame of the replica trick.

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