Abstract
This is a preliminary report upon a piece of research being carried out by T. C. Halsey, Mogens Jensen, Leo Kadanoff, Itamar Procaccia and Boris Shraiman. It is an outgrowth of the thinking reflected in the work of Hentschel and Procaccia1 and of Halsey, Meakin and Procaccia.2 A fuller report on this work will appear later.
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References
H. G. E. Hentschel, I. Procaccia, Physica 8D, 440 (1983).
T. Halsey, P. Meakin, I. Procaccia, preprint.
This example was studied in detail in Ref. 2 and also in the parallel and independent work by H. Scher, L. Turkevitch.
A. For a mathematical basis for this type of approach, seMath. No. 470 (Springer, Berlin, 1975). B. For a somewhat analogous attack upon random resistor networks, see L. de Arcangelis, S. Redner, A. Coniglio, Phys. Rev. B 31, 4725 (1985).
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© 1986 Martinus Nijhoff Publishers,Dordrecht
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Kadanoff, L.P. (1986). Fractal Singularities in a Measure and “How to Measure Singularities on a Fractal”. In: Stanley, H.E., Ostrowsky, N. (eds) On Growth and Form. NATO ASI Series, vol 100. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-5165-5_33
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DOI: https://doi.org/10.1007/978-94-009-5165-5_33
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