Parisi formula for the ground state energy in the mixed p-spin model

2016/06/16 by Auffinger, Antonio, Chen, Wei-Kuo · 3 citations
#60K35 #82B44 #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Probability (math.PR)

paper · doi:10.48550/arxiv.1606.05335

Abstract

We show that the thermodynamic limit of the ground state energy in the mixed p-spin model can be identified as a variational problem. This gives a natural generalization of the Parisi formula at zero temperature.

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• Ground state energies of multipartite p-spin models -- partially lifted RDT view
• Large deviations for the maximum of the generalized TAP free energy
• Balanced multi-species spin glasses

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