Stability of the Mezard-Parisi solution for random manifolds
D. M. Carlucci, C. De Dominicis, T. Temesvari
Abstract
The eigenvalues of the Hessian associated with random manifolds are constructed for the general case of R steps of replica symmetry breaking. For the Parisi limit R∞ (continuum replica symmetry breaking) which is relevant for the manifold dimension D<2, they are shown to be non negative.
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