Statisticians use Tracy-Widom laws in the new developments in random matrix theory. The asymptotic behavior of spectra of random matrices was understood (by statisticians) back in the 1960s when the rows of the matrix are independent and identically distributed row-vectors from a fixed distribution (most importantly, with a fixed dimension), and produced asymptotically normal/Gaussian laws typical for the Central Limit Theorem and its generalizations. Tracy-Widom laws apply to matrices in which both row and column dimensions are allowed to grow to infinity (proportionally to one another). See e.g. doi:10.1214/aos/1009210544.
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