Universality of Chaos and Ultrametricity in Mixed p-Spin Models

Antonio C Auffinger, Wei Kuo Chen

Research output: Contribution to journalArticle

4 Scopus citations


We prove disorder universality of chaos phenomena and ultrametricity in the mixed p-spin model under mild moment assumptions on the environment. This establishes the longstanding belief among physicists that the solution of mean-field models with Gaussian disorder also holds for different environments. Our results extend to the mixed p-spin model as well as to different spin glass models. These include universality of quenched disorder chaos in the Edwards-Anderson (EA) model and quenched concentration for the magnetization in both EA and mixed p-spin models under non-Gaussian environments. In addition, we show quenched self-averaging for the overlap in the random field Ising model under small perturbation of the external field.

Original languageEnglish (US)
Pages (from-to)2107-2130
Number of pages24
JournalCommunications on Pure and Applied Mathematics
Issue number11
StatePublished - Nov 1 2016

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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