An L...-Estimate for the gradient of extremals.
Seppo Granlund (1982)
Mathematica Scandinavica
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Displaying similar documents to “A Variational Principle for the Hausdorff Dimension of Fractal Sets.”
An L...-Estimate for the gradient of extremals.
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Śladkowska, Janina (2015-11-13T13:54:55Z)
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Claes Fernström (1987)
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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).
The variational principle
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Krupka, D. (2006)
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On the Hausdorff dimension of a family of self-similar sets with complicated overlaps
Balázs Bárány (2009)
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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...
On Nikodym-type sets in high dimensions
Themis Mitsis (2004)
Studia Mathematica
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We prove that the complement of a higher-dimensional Nikodym set must have full Hausdorff dimension.