PreprintCC BY 4.0HAL
Free energy of non-convex multi-species spherical spin glasses
Abstract
We identify the limit free energy of all mean-field multi-species spin glasses defined on products of spheres. In particular, we do not make any convexity assumption on the covariance function of the Hamiltonian, and we allow for the presence of external fields. We also obtain a one-species reduction of the formula in the special case of balanced models.
Related
- Free energy of non-convex multi-species spin glasses with centered Ising spins
- Free energy of non-convex multi-species Ising spin glasses with external fields
- Free energy of spherical vector spin glasses
- Free energy of 2-spin spherical vector spin glasses
- Convergence of the free energy of vector spin glasses with non-convex interactions
BibTeX
@misc{chen2026free,
title = {{Free energy of non-convex multi-species spherical spin glasses}},
author = {Hong-Bin Chen and Jean-Christophe Mourrat},
howpublished = {HAL},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.32710},
eprint = {2609.32710},
archivePrefix = {arXiv},
url = {https://hal.science/hal-05777144v1},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Free energy of non-convex multi-species spherical spin glasses
AU - Hong-Bin Chen
AU - Jean-Christophe Mourrat
PY - 2026
DA - 2026/09/26
PB - HAL
DO - 10.48550/arxiv.2609.32710
UR - https://hal.science/hal-05777144v1
AB - We identify the limit free energy of all mean-field multi-species spin glasses defined on products of spheres. In particular, we do not make any convexity assumption on the covariance function of the Hamiltonian, and we allow for the presence of external fields. We also obtain a one-species reduction of the formula in the special case of balanced models.
ER -