Ground State Stability in Two Spin Glass Models

L. P. Arguin, C. M. Newman, D. L. Stein

Research output: Chapter in Book/Report/Conference proceedingChapter


An important but little-studied property of spin glasses is the stability of their ground states to changes in one or a finite number of couplings. It was shown in earlier work that, if multiple ground states are assumed to exist, then fluctuations in their energy differences—and therefore the possibility of multiple ground states—are closely related to the stability of their ground states. Here we examine the stability of ground states in two models, one of which is presumed to have a ground state structure that is qualitatively similar to other realistic short-range spin glasses in finite dimensions.

Original languageEnglish (US)
Title of host publicationProgress in Probability
Number of pages9
StatePublished - 2021

Publication series

NameProgress in Probability
ISSN (Print)1050-6977
ISSN (Electronic)2297-0428


  • Critical droplets
  • Highly disordered model
  • Spin glass
  • Strongly disordered model

ASJC Scopus subject areas

  • Applied Mathematics
  • Mathematics (miscellaneous)
  • Statistics and Probability
  • Mathematical Physics


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