On the dimensions of certain incommensurably constructed sets.
Veerman, J.J.P., Stošić, B.D. (2000)
Experimental Mathematics
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Veerman, J.J.P., Stošić, B.D. (2000)
Experimental Mathematics
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W. Kulpa (1972)
Colloquium Mathematicae
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R. Duda (1979)
Colloquium Mathematicae
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R. Đorđević (1989)
Matematički Vesnik
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Lu-ming Shen (2010)
Acta Arithmetica
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H. Akkari, I. Bhouri, P. Dubois, M. H. Bedoui (2008)
Mathematical Modelling of Natural Phenomena
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The inner knowledge of volumes from images is an ancient problem. This question becomes complicated when it concerns quantization, as the case of any measurement and in particular the calculation of fractal dimensions. Trabecular bone tissues have, like many natural elements, an architecture which shows a fractal aspect. Many studies have already been developed according to this approach. The question which arises however is to know to which extent it is possible to get an exact determination...
Balázs Bárány (2009)
Fundamenta Mathematicae
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We investigate the properties of the Hausdorff dimension of the attractor of the iterated function system (IFS) {γx,λx,λx+1}. Since two maps have the same fixed point, there are very complicated overlaps, and it is not possible to directly apply known techniques. We give a formula for the Hausdorff dimension of the attractor for Lebesgue almost all parameters (γ,λ), γ < λ. This result only holds for almost all parameters: we find a dense set of parameters (γ,λ) for which the Hausdorff...
Jaroslav Hančl, Radhakrishnan Nair, Lukáš Novotný, Jan Šustek (2012)
Acta Arithmetica
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R. Kobes, H. Letkeman (2002)
Visual Mathematics
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James R. Lee, Manor Mendel, Mohammad Moharrami (2012)
Fundamenta Mathematicae
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For every ε > 0, any subset of ℝⁿ with Hausdorff dimension larger than (1-ε)n must have ultrametric distortion larger than 1/(4ε).
L. Polkowski (1985)
Colloquium Mathematicae
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B. Rokowska (1977)
Colloquium Mathematicae
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Jaiani, G. (2001)
Bulletin of TICMI
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