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.

Preliminary version

References in corpus (1)

• Broken Replica Symmetry Bounds in the Mean Field Spin Glass Model

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