A simple approach to chaos for $p$-spin models

Abstract

We prove that, in mixed $p$-spin models of spin glasses, the location of the ground state is chaotic under small Gaussian perturbations. For the case of even $p$-spin models, this was shown by Chen, Handschy and Lerman [2018]. We rely on a different approach which only uses the Parisi formula as a black box.

arXiv commentPreliminary version

References in corpus (6)

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• A two-sided estimate for the Gaussian noise stability deficit
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• Axial, Planar-Diagonal, Body-Diagonal Fields on the Cubic-Spin Spin Glass in d=3: A Plethora of Ordered Phases under Finite Fields