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cond-mat.dis-nn2024
On free energy of non-convex multi-species spin glasses
Hong-Bin Chen
In [arXiv:2311.08980], it was shown that if the limit of the free energy in a non-convex vector spin glass model exists, it must be a critical value of a certain functional. In thi…
math.PR2024
Simultaneous replica-symmetry breaking for vector spin glasses
Hong-Bin Chen, Jean-Christophe Mourrat
We consider mean-field vector spin glasses with possibly non-convex interactions. Up to a small perturbation of the parameters defining the model, the asymptotic behavior of the Gi…