Abstract
We investigate the problem of computing
for any value of a, where Z N is the partition function of the celebrated Sherrington-Kirkpatrick (SK) model, or of some of its natural generalizations. This is a natural “large deviation” problem. Its study helps to get a fresh look at some of the recent ideas introduced in the area, and raises a number of natural questions. We provide a complete solution for a ≥ 0.
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Talagrand, M. Large Deviations, Guerra’s and A.S.S. Schemes, and the Parisi Hypothesis. J Stat Phys 126, 837–894 (2007). https://doi.org/10.1007/s10955-006-9108-9
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DOI: https://doi.org/10.1007/s10955-006-9108-9