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 The higher order correlations basically being the measures of the fluctuations of the density around its average value, their comparison in two different spectrum makes sense only if the fluctuations are measured with respect to same background. This requires an unfolding of each spectrum, that is, rescaling by its mean level density before comparison with another spectrum . As the parameter governing the evolution in the rescaled spectrum is Λ, the higher order correlations of an AE are given by a BE with a same Λ value.
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