PreprintCC BY 4.0arXiv
Convergence of the free energy of vector spin glasses with non-convex interactions
Abstract
We prove that the enriched free energy of vector spin glasses converges as the number of sites tends to infinity. The interaction is not assumed to be convex. This is the convergence assumed by Chen and Mourrat (Probab. Math. Phys., 2025) in their representation of the limit as a critical point representation, so that representation holds without further assumptions.
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BibTeX
@misc{ho2026convergence,
title = {{Convergence of the free energy of vector spin glasses with non-convex interactions}},
author = {Fu-Hsuan Ho},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.39307},
eprint = {2609.39307},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.39307},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Convergence of the free energy of vector spin glasses with non-convex interactions
AU - Fu-Hsuan Ho
PY - 2026
DA - 2026/09/30
PB - arXiv
DO - 10.48550/arxiv.2609.39307
UR - https://arxiv.org/abs/2609.39307
AB - We prove that the enriched free energy of vector spin glasses converges as the number of sites tends to infinity. The interaction is not assumed to be convex. This is the convergence assumed by Chen and Mourrat (Probab. Math. Phys., 2025) in their representation of the limit as a critical point representation, so that representation holds without further assumptions.
ER -