One step replica symmetry breaking and extreme order statistics of logarithmic REMs
Building upon the one-step replica symmetry breaking formalism, duly understood and ramified, we show that the sequence of ordered extreme values of a general class of Euclidean-space logarithmically correlated random energy models (logREMs) behave in the thermodynamic limit as a randomly shifted d...
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| Format: | Article |
| Language: | English |
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SciPost
2016-12-01
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| Series: | SciPost Physics |
| Online Access: | https://scipost.org/SciPostPhys.1.2.011 |