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The strong Szegö limit theorem describes the asymptotic behavior of determinants of large Toeplitz matrices. It has important applications in theoretical physics, ranging from two-dimensional Ising model to the theory of random matrices. In this talk, I will show how this theorem can be effectively applied to computing four-point correlation functions of infinitely heavy half-BPS operators in planar N = 4 SYM.
D. Sorokin, D. Cassani