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Near optimal configurations in mean field disordered systems

A. Pagnani·G. Parisi·M. Ratieville
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Abstract

We present a general technique to compute how the energy of a configuration varies as a function of its overlap with the ground state in the case of optimization problems. Our approach is based on a generalization of the cavity method to a system interacting with its ground state. With this technique we study the random matching problem as well as the mean field diluted spin glass. As a byproduct of this approach we calculate the de Almeida-Thouless transition line of the spin glass on a fixed connectivity random graph.

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A. Pagnani, G. Parisi, M. Ratieville. 2003-07-10. Near optimal configurations in mean field disordered systems. https://doi.org/10.1103/physreve.68.046706

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