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Large deviations in spin-glass ground-state energies

Abstract : The ground-state energy E_0 of a spin glass is an example of an extreme statistic. We consider the large deviations of this energy for a variety of models when the number of spins N goes to infinity. In most cases, the behavior can be understood qualitatively, in particular with the help of semi-analytical results for hierarchical lattices. Particular attention is paid to the Sherrington-Kirkpatrick model; after comparing to the Tracy-Widom distribution which follows from the spherical approximation, we find that the large deviations give rise to non-trivial scaling laws with N.
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https://hal.archives-ouvertes.fr/hal-00003344
Contributor : Claudine Le Vaou Connect in order to contact the contributor
Submitted on : Thursday, November 25, 2004 - 2:30:55 PM
Last modification on : Friday, October 8, 2021 - 2:04:15 PM

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A. Andreanov, Francesca Barbieri, Olivier Martin. Large deviations in spin-glass ground-state energies. European Physical Journal B: Condensed Matter and Complex Systems, Springer-Verlag, 2004, 41, pp.365. ⟨hal-00003344⟩

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