Synchronization of Enriched Spin Glasses

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.

Authors

Publication Details

Journal
arXiv (Cornell University)
Published
2026-11-02
DOI
https://doi.org/10.48550/arxiv.2611.03587
Primary Topic
Theoretical and Computational Physics
Type
preprint
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preprint

Synchronization of Enriched Spin Glasses

Franziska Engler, Justin Ko
arXiv (Cornell University)
Theoretical and Computational Physics
preprint

Synchronization of Enriched Spin Glasses

Franziska Engler, Justin Ko
preprint en

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.

arXiv (Cornell University)
Theoretical and Computational Physics
DOIOpen Access PDFOpenAlex
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Synchronization of Enriched Spin Glasses — Franziska Engler, Justin Ko · arXiv (Cornell University) (2026) | TGRS Research Map | TGRS