Stability of the Mezard-Parisi solution for random manifolds
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.
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.