Sampling e^{O(n)} configurations from the linear random energy model yields energy levels that converge to a Poisson point process with exponential intensity, establishing REM universality and giving the limiting Gibbs weight distribution.
Number partitioning as a random energy model.Journal of Statistical Mechanics: Theory and Experiment, 2004:04003
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REM universality for linear random energy
Sampling e^{O(n)} configurations from the linear random energy model yields energy levels that converge to a Poisson point process with exponential intensity, establishing REM universality and giving the limiting Gibbs weight distribution.