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  • 12:36, 14 January 2026 Lptmswikids talk contribs created page Back to the REM (Created page with "Returning now to the Random Energy Model (REM), recall that for each realization of disorder, we obtain <math>M=2^N</math> Gaussian random variables with zero mean and variance <math>\sigma^2_M = \frac{\log M}{\log 2} = N</math>. The minimum energy is a random variable belonging to the Gumbel universality class. From the results for <math>a_M </math> and <math>b_M</math> derived in the previous section, we have: <center> <math>E_{\min} =a_M +b_M z = - \sqrt{2 \log 2}\;...")