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

Antonio Auffinger, Wei Kuo Chen

Research output: Contribution to journalArticlepeer-review

10 Scopus citations

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.

Original languageEnglish (US)
Pages (from-to)4617-4631
Number of pages15
JournalAnnals of Probability
Volume45
Issue number6
DOIs
StatePublished - 2017

Keywords

  • Ground state energy
  • Parisi formula
  • Spin glasses

ASJC Scopus subject areas

  • Statistics and Probability
  • Statistics, Probability and Uncertainty

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