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nlin.CD2013★ 35 cited
Calculation of multifractal dimensions in spin chains
Y. Y. Atas, E. Bogomolny
It was demonstrated in [Phys. Rev. E 86, 021104, (2012)], that the ground-state wave functions for a large variety of one-dimensional spin-1/2 models are multifractals in the natur…
quant-ph2013★ 91 cited
Joint probability densities of level spacing ratios in random matrices
Y. Y. Atas, E. Bogomolny, O. Giraud +2
We calculate analytically, for finite-size matrices, joint probability densities of ratios of level spacings in ensembles of random matrices characterized by their associated confi…