PreprintarXiv licencearXiv
Synchronization of Enriched Spin Glasses
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.
Related
- TAP equations for orthogonally invariant spin glasses at high temperature
- Free energy of non-convex multi-species spin glasses with centered Ising spins
- Convergence of the free energy of vector spin glasses with non-convex interactions
- Free energy of non-convex multi-species spherical spin glasses
- Free energy of spherical vector spin glasses
BibTeX
@misc{engler2026synchronization,
title = {{Synchronization of Enriched Spin Glasses}},
author = {Franziska Engler and Justin Ko},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2611.03587},
eprint = {2611.03587},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2611.03587},
}
RIS
TY - UNPB
TI - Synchronization of Enriched Spin Glasses
AU - Franziska Engler
AU - Justin Ko
PY - 2026
DA - 2026/11/02
PB - arXiv
DO - 10.48550/arxiv.2611.03587
UR - https://arxiv.org/abs/2611.03587
AB - 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.
ER -