Extending the Parisi formula along a Hamilton-Jacobi equation
Résumé
We study the free energy of mixed p-spin spin glass models enriched with an additional magnetic field given by the canonical Gaussian field associated with a Ruelle probability cascade. We prove the conjecture in [15] that this free energy converges to the Hopf-Lax solution of a certain Hamilton-Jacobi equation. Using this result, we give a new representation of the free energy of mixed p-spin models with soft spins.
Domaines
Probabilités [math.PR]
Origine : Fichiers produits par l'(les) auteur(s)