PreprintCC BY 4.0HAL
Free energy of non-convex multi-species spin glasses with centered Ising spins
Abstract
We identify the limit free energy of all multi-species spin glasses with centered ±1 spins. The result was previously known only under a convexity assumption on the covariance function of the Hamiltonian. We also obtain a one-species reduction of the formula for balanced multi-species models.
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BibTeX
@misc{chen2026free,
title = {{Free energy of non-convex multi-species spin glasses with centered Ising spins}},
author = {Hong-Bin Chen and Victor Issa and Jean-Christophe Mourrat},
howpublished = {HAL},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2606.16636},
eprint = {2606.16636},
archivePrefix = {arXiv},
url = {https://hal.science/hal-05777136v1},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Free energy of non-convex multi-species spin glasses with centered Ising spins
AU - Hong-Bin Chen
AU - Victor Issa
AU - Jean-Christophe Mourrat
PY - 2026
DA - 2026/09/29
PB - HAL
DO - 10.48550/arxiv.2606.16636
UR - https://hal.science/hal-05777136v1
AB - We identify the limit free energy of all multi-species spin glasses with centered ±1 spins. The result was previously known only under a convexity assumption on the covariance function of the Hamiltonian. We also obtain a one-species reduction of the formula for balanced multi-species models.
ER -