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Large Deviations and Random Energy Models

N. K. Jana·B. V. Rao
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Abstract

A unified treatment for the existence of free energy in several random energy models is presented. If the sequence of distributions associated with the particle systems obeys a large deviation principle, then the free energy exists almost surely. This includes all the known cases as well as some heavy-tailed distributions.

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N. K. Jana, B. V. Rao. 2006-12-28. Large Deviations and Random Energy Models. https://arxiv.org/abs/math/0612836

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