article published yes Zhigang Bao author 442E6A6C-F248-11E8-B48F-1D18A9856A870000-0003-3036-1475 Guangming Pan author Wang Zhou author LaEr department Consider the square random matrix An = (aij)n,n, where {aij:= a(n)ij , i, j = 1, . . . , n} is a collection of independent real random variables with means zero and variances one. Under the additional moment condition supn max1≤i,j ≤n Ea4ij &lt;∞, we prove Girko's logarithmic law of det An in the sense that as n→∞ log | detAn| ? (1/2) log(n-1)! d/→√(1/2) log n N(0, 1). Bernoulli Society for Mathematical Statistics and Probability2015 eng 1208.5823 00035699310001210.3150/14-BEJ615 2131600 - 1628 Bao, Zhigang, et al. “The Logarithmic Law of Random Determinant.” <i>Bernoulli</i>, vol. 21, no. 3, Bernoulli Society for Mathematical Statistics and Probability, 2015, pp. 1600–28, doi:<a href="https://doi.org/10.3150/14-BEJ615">10.3150/14-BEJ615</a>. Bao Z, Pan G, Zhou W. 2015. The logarithmic law of random determinant. Bernoulli. 21(3), 1600–1628. Z. Bao, G. Pan, W. Zhou, Bernoulli 21 (2015) 1600–1628. Bao Z, Pan G, Zhou W. The logarithmic law of random determinant. <i>Bernoulli</i>. 2015;21(3):1600-1628. doi:<a href="https://doi.org/10.3150/14-BEJ615">10.3150/14-BEJ615</a> Bao, Zhigang, Guangming Pan, and Wang Zhou. “The Logarithmic Law of Random Determinant.” <i>Bernoulli</i>. Bernoulli Society for Mathematical Statistics and Probability, 2015. <a href="https://doi.org/10.3150/14-BEJ615">https://doi.org/10.3150/14-BEJ615</a>. Z. Bao, G. Pan, and W. Zhou, “The logarithmic law of random determinant,” <i>Bernoulli</i>, vol. 21, no. 3. Bernoulli Society for Mathematical Statistics and Probability, pp. 1600–1628, 2015. Bao, Z., Pan, G., &#38; Zhou, W. (2015). The logarithmic law of random determinant. <i>Bernoulli</i>. Bernoulli Society for Mathematical Statistics and Probability. <a href="https://doi.org/10.3150/14-BEJ615">https://doi.org/10.3150/14-BEJ615</a> 15062018-12-11T11:52:25Z2025-09-23T13:59:56Z