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Random Energy Model with Compact Distributions

Nabin Kumar Jana
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Abstract

In this paper we study the Random energy model - so called toy model of the spin glass theory - where the underlying distributions are compactly supported. We prove a general theorem on the asymptotics of free energy and obtain formulae in several interesting cases - like uniform distribution, truncated double exponential.

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Nabin Kumar Jana. 2006-02-28. Random Energy Model with Compact Distributions. https://arxiv.org/abs/math/0602666

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