Random Energy Model with Compact Distributions

Details Random Energy Model with Compact Distributions Random Energy Model with Compact Distributions

2006-02-28

arxiv.org/abs/math/0602666v1

Mathematics

Probability

Scientific paper

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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