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On the Resistance of the Sierpinski Carpet

โœ Scribed by Barlow, M. T.; Bass, R. F.


Book ID
120149391
Publisher
The Royal Society
Year
1990
Tongue
English
Weight
451 KB
Volume
431
Category
Article
ISSN
0962-8444

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We analyse the multifractal decomposition of a measure defined on a general Sierpinski carpet. We compute the dimension spectrum f(a) and we show that this function is real-analytic on a certain domain when it is not degenerated. Actually, we prove that f is the Legendre-Fenchel transformation of a