The Legendre Structure of the Parisi Formula

Antonio C Auffinger, Wei Kuo Chen*

*Corresponding author for this work

Research output: Contribution to journalArticle

4 Scopus citations


We show that the Parisi formula of the mixed p-spin model is a concave function of the squared inverse temperature. This allows us to derive a new expression for the Parisi formula that involves the inverse temperature and the Parisi measure as Legendre conjugate variables.

Original languageEnglish (US)
Pages (from-to)751-770
Number of pages20
JournalCommunications in Mathematical Physics
Issue number3
StatePublished - Dec 1 2016

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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