Stability of the Mezard-Parisi solution for random manifolds

Details Stability of the Mezard-Parisi solution for random manifolds Stability of the Mezard-Parisi solution for random manifolds

1996-05-13

arxiv.org/abs/cond-mat/9605077v1

Physics

Condensed Matter

LaTeX, 15 pages

Scientific paper

10.1051/jp1:1996114

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 $R\to\infty$ (continuum replica symmetry breaking) which is
relevant for the manifold dimension $D<2$, they are shown to be non negative.

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