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math.PR2026
Free energy of non-convex multi-species Ising spin glasses with external fields
Jeanne Boursier, Jean-Christophe Mourrat
We identify the limit free energy of mean-field multi-species spin glasses with +/-1 spins, allowing for the presence of external fields, and without assuming any convexity propert…
math.PR2026
Large deviations for the maximum of the generalized TAP free energy
Jeanne Boursier
We study large deviations of the maximum of the generalized TAP free energy introduced by Chen, Panchenko, and Subag for the Ising mixed -spin model. The upper bound uses a new…
math.PR2026
The Legendre structure of the TAP complexity for the Ising spin glass
Jeanne Boursier
We study the complexity of the Thouless-Anderson-Palmer (TAP) free energy for Ising spin glasses with a general mixed p-spin covariance, working with the generalized TAP functional…