Normalized |det(X-z)|^γ measures for i.i.d. matrices converge to Gaussian Multiplicative Chaos in the subcritical regime.
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Formulates an avatar of the Fyodorov-Hiary-Keating conjecture for black hole microstate counts, implying sharp bounds on CFT primary operator interval counts and suggesting that AdS spectra exhibit extreme value statistics of Gaussian log-correlated random matrices.
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Gaussian Multiplicative Chaos for i.i.d. matrices
Normalized |det(X-z)|^γ measures for i.i.d. matrices converge to Gaussian Multiplicative Chaos in the subcritical regime.