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math-ph2018
Power-law random banded matrices and ultrametric matrices: eigenvector distribution in the intermediate regime
E. Bogomolny, M. Sieber
The power-law random banded matrices and the ultrametric random matrices are investigated numerically in the regime where eigenstates are extended but all integer matrix moments re…
quant-ph2018
Eigenfunction distribution for the Rosenzweig-Porter model
E. Bogomolny, M. Sieber
The statistical distribution of eigenfunctions for the Rosenzweig-Porter model is derived for the region where eigenfunctions have fractal behaviour. The result is based on simple…