Large Deviations and Random Energy Models

Details Large Deviations and Random Energy Models Large Deviations and Random Energy Models

2006-12-28

arxiv.org/abs/math/0612836v1

Mathematics

Probability

10 pages

Scientific paper

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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