Abstract
We present an analysis of the implicit assumptions that lie at the basis of the scaling relations for fractal measures proposed by CATES et. al. [1]. Furthermore,the scaling relations which have been shown to hold for trivial multifractals like the generalized Cantor set [2] are tested numerically for critical wave functions of an incommensurate system.
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References
M.E. Cates and J.M. Deutsch, Phys. Rev. A, 35 (1987) p. 4907.
A.P. Siebesma and L. Pietronero, Submitted to J. Phys. A.
T.C. Halsey, M.H. Jensen, L.P. Kadanoff, I. Procaccia and B.I. Shraiman, Phys. Rev. A, 33 (1986) p. 1141.
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A.P. Siebesma and L. Pietronero, Europhys. Lett. 4 (1987) p. 597.
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© 1988 Springer-Verlag Berlin Heidelberg
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Siebesma, A.P. (1988). Correlations in Multifractals. In: Jullien, R., Peliti, L., Rammal, R., Boccara, N. (eds) Universalities in Condensed Matter. Springer Proceedings in Physics, vol 32. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-51005-2_37
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DOI: https://doi.org/10.1007/978-3-642-51005-2_37
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