Dimensions of the boundaries of self-similar sets.
Lau, Ka-Sing, Ngai, Sze-Man (2003)
Experimental Mathematics
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Displaying similar documents to “The dimension of the boundary of the Lévy dragon.”
Dimensions of the boundaries of self-similar sets.
Outer boundaries of self-similar tiles.
Drenning, Shawn, Palagallo, Judith, Price, Thomas, Strichartz, Robert S. (2005)
Experimental Mathematics
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Di Francesco, Philippe (2010)
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Divisible tilings in the hyperbolic plane.
Broughton, S.Allen, Haney, Dawn M., McKeough, Lori T., Smith Mayfield, Brandy (2000)
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Igudesman, K. (2003)
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Characterizing growth and form of fractal cities with allometric scaling exponents.
Chen, Yanguang (2010)
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Veerman, J.J.P., Stošić, B.D. (2000)
Experimental Mathematics
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Tamal K. Dey, Herbert Edelsbrunner, Sumanta Guha, Dmitry V. Nekhayev (1999)
Publications de l'Institut Mathématique
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On the Hausdorff dimension of a family of self-similar sets with complicated overlaps
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...
Tilings of the sphere with right triangles. I: The asymptotically right families.
Dawson, Robert J. MacG., Doyle, Blair (2006)
The Electronic Journal of Combinatorics [electronic only]
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Inhomogeneous self-similar sets and box dimensions
Jonathan M. Fraser (2012)
Studia Mathematica
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We investigate the box dimensions of inhomogeneous self-similar sets. Firstly, we extend some results of Olsen and Snigireva by computing the upper box dimensions assuming some mild separation conditions. Secondly, we investigate the more difficult problem of computing the lower box dimension. We give some non-trivial bounds and provide examples to show that lower box dimension behaves much more strangely than upper box dimension, Hausdorff dimension and packing dimension.
Tilings of the sphere with right triangles. II: The , subfamily.
Dawson, Robert J. MacG., Doyle, Blair (2006)
The Electronic Journal of Combinatorics [electronic only]
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Product and puzzle formulae for Belkale-Kumar coefficients.
Knutson, Allen, Purbhoo, Kevin (2011)
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On the Hausdorff dimension of the expressible set of certain sequences
Jaroslav Hančl, Radhakrishnan Nair, Lukáš Novotný, Jan Šustek (2012)
Acta Arithmetica
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