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• 14:27, 18 January 2026 Rosso talk contribs created page H 1 (Created page with "We are interested in the asymptotic behavior of the cumulative distribution <math>P(E)</math> in the left tail <math>E\to -\infty</math>, since the minimum is controlled by the regime where <math>M P(E)=O(1)</math>. Starting from the Gaussian distribution with zero mean and variance <math>\sigma^2</math>, we write the cumulative as <center><math> P(E) = \int_{-\infty}^E \frac{dx}{\sqrt{2\pi\sigma^2}} \, e^{-x^2/2\sigma^2}. </math></center> Using integration by parts (o...")