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MULTIFRACTAL ANALYSIS OF BROADLY-DISTRIBUTED OBSERVABLES AT CRITICALITY

MULTIFRACTAL ANALYSIS OF BROADLY-DISTRIBUTED OBSERVABLES AT CRITICALITY

The multifractal analysis of disorder-induced localization-delocalization transitions is reviewed. Scaling properties of this transition are generic for multi parameter coherent systems which show broadly-distributed observables at criticality. The multifractal analysis of local measures is extended to more general observables including scaling variables such as the conductance in the localization problem. …