Provides uniform local laws and localization analysis for the general Rosenzweig-Porter model H = H0 + λW, generalizing previous results on deformed Wigner matrices.
The wishart–rosenzweig–porter random matrix ensemble
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Cavity method on weighted ER graphs yields LDoS distribution with power-law tails of exponent 3, weakly multifractal extended eigenvectors, and logarithmic IPR scaling.
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Local density of states distribution and multifractal eigenvectors of weighted random networks via the cavity approach
Cavity method on weighted ER graphs yields LDoS distribution with power-law tails of exponent 3, weakly multifractal extended eigenvectors, and logarithmic IPR scaling.