Metastable configurations on the Bethe lattice.
We present a general analytic method to compute the number of metastable configurations as a function of the energy for a system of interacting Ising spins on the Bethe lattice. Our approach is based on the cavity method. We apply it to the case of ferromagnetic interactions, and also to the binary and Gaussian spin glasses. Most of our results are obtained within the replica symmetric ansatz, but we illustrate how replica symmetry breaking can be performed.
Pagnani
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Dipartimento di Fisica, SMC, INFM, Università degli Studi di Roma La Sapienza, Piazzale Aldo Moro 2, I-00185 Rome, Italy.
Parisi
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G
Ratiéville
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