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arXiv · 2606.16636

Free energy of non-convex multi-species spin glasses with centered Ising spins

Hong-Bin Chen·Victor Issa·Jean-Christophe Mourrat
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Abstract

We identify the limit free energy of all multi-species spin glasses with centered $\pm 1$ 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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Hong-Bin Chen, Victor Issa, Jean-Christophe Mourrat. 2026-06-15. Free energy of non-convex multi-species spin glasses with centered Ising spins. https://arxiv.org/abs/2606.16636

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