Synchronization of Enriched Spin Glasses
Franziska Engler, Justin Ko
Abstract
We show that enriching a non-convex multi-species Hamiltonian by a uniform Ruelle probability cascade implies synchronization of the joint overlap array without an additional regularizing perturbation. In particular, we show that any limit point of the overlap array is a deterministic non-decreasing function of a uniform Ruelle probability cascade.
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