Random Littlewood polynomials satisfy liminf log(max |f_n| / sqrt(n)) / (log log n)^{1/3} = -(3π²/4)^{1/3} almost surely, determined by Gaussian process small-ball probabilities.
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On the maxima of Littlewood polynomials on $[-1,1]$
Random Littlewood polynomials satisfy liminf log(max |f_n| / sqrt(n)) / (log log n)^{1/3} = -(3π²/4)^{1/3} almost surely, determined by Gaussian process small-ball probabilities.