Provides uniform local laws and localization analysis for the general Rosenzweig-Porter model H = H0 + λW, generalizing previous results on deformed Wigner matrices.
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Normalized |det(X-z)|^γ measures for i.i.d. matrices converge to Gaussian Multiplicative Chaos in the subcritical regime.
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On a Rosenzweig-Porter-type model
Provides uniform local laws and localization analysis for the general Rosenzweig-Porter model H = H0 + λW, generalizing previous results on deformed Wigner 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.