Spin glass models from the point of view of spin distributions. (English) Zbl 1281.60081
The author considers the Giggs measure defined by the random Hamiltonian indexed by the spin configurations \({-1,+1}^N\) which is involved in the Sherrington-Kirkpatrick spin-glass model. It is shown that the joint distribution of spins is determined by the joint distributions of the overlaps, and the author gives explicit results under the Parisis ultrametricity assumption. After a very long introduction and main results, he studies the diluted models and then he deals with the Sherrington-Kirkpatrick model.
Reviewer: Guy Jumarie (Montréal)
MSC:
| 60K35 | Interacting random processes; statistical mechanics type models; percolation theory |
| 82B44 | Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics |
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