The Legendre Structure of the Parisi Formula

Antonio Auffinger, Wei Kuo Chen

Research output: Contribution to journalArticlepeer-review

5 Scopus citations

Abstract

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
Volume348
Issue number3
DOIs
StatePublished - Dec 1 2016

Bibliographical note

Publisher Copyright:
© 2016, Springer-Verlag Berlin Heidelberg.

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