Displaying similar documents to “Application of Vekua's dimension reduction method to cusped plates and bars.”

On the Information Dimensions

Józef Myjak, Ryszard Rudnicki (2007)

Bollettino dell'Unione Matematica Italiana

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A relationship between the information dimension and the average dimension of a measure is given. Properties of the average dimension are studied.

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...