Effect of fluctuations on multifractals

Gupte, Neelima ; Gangal, A. D. ; Amritkar, R. E. (1987) Effect of fluctuations on multifractals Physical Review A, 36 (10). pp. 4950-4956. ISSN 1050-2947

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Official URL: http://pra.aps.org/abstract/PRA/v36/i10/p4950_1

Related URL: http://dx.doi.org/10.1103/PhysRevA.36.4950


We have studied the effect of fluctuations on multifractals. Averaging over the fluctuations leads to an additive correction to the measure, i.e., to a metadimension. This effect is particularly important at the crossover point where the generalized dimension changes sharply.

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