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| | 92-192 |
 | | Under the assumption that the two order parameters can be chosen to be the same, in the thermodynamic limit, it is shown that the Parisi free energy is a rigorous upper bound for the free energy of the model. |
 | | We are interested in the expression of the thermodynamic limit $N\to\infty$ for the free energy per spin, averaged over the external noise (quenched average), $$\lim_{N\to\infty}N^{-1}E\bigl(\log Z_N(\beta,J)\bigr). |
 | | In a forthcoming paper [4], we show that there is good evidence, not a definite mathematical proof as yet, that the two order parameters in (31) can be taken the same, in the thermodynamic limit, and moreover that the Parisi free energy is the true free energy, and not only an upper bound. |
| mpej.unige.ch /mp_arc/p/92-192 (1601 words) |
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