An approach to chaos in some mixed p-spin models

Wei Kuo Chen, Dmitry Panchenko

Research output: Contribution to journalArticlepeer-review

11 Scopus citations

Abstract

We consider the problems of chaos in disorder and temperature for coupled copies of the mixed p-spin models. Under certain assumptions on the parameters of the models, first we prove a weak form of chaos by showing that the overlap is concentrated around its Gibbs average depending on the disorder and then obtain several results toward strong chaos by providing control of the overlap between two systems in terms of their Parisi measures.

Original languageEnglish (US)
Pages (from-to)389-404
Number of pages16
JournalProbability Theory and Related Fields
Volume157
Issue number1-2
DOIs
StatePublished - Oct 1 2013

Keywords

  • Chaos
  • Spin glass models
  • Stability

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