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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2 Pith papers cite this work. Polarity classification is still indexing.
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SYK disorder is shown to be an approximate unitary k-design for poly(N) k; under the planted-SYK hardness conjecture this yields gravitationally pseudorandom unitaries, implying cryptographic censorship in JT gravity with the regularized maximal geodesic length as distinguisher.
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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.