EuDML | Browse

Items

All a b c d e f g h i j k l m n o p q r s t u v w x y z Other

Displaying 21 – 33 of 33

On the Hausdorff dimension of certain self-affine sets

Abercrombie Alex G.., Nair R. (2002)

Studia Mathematica

A subset E of ℝⁿ is called self-affine with respect to a collection ϕ₁,...,ϕₜ of affinities if E is the union of the sets ϕ₁(E),...,ϕₜ(E). For S ⊂ ℝⁿ let $Φ (S) = ⋃_{1 \leq j \leq t} ϕ_{j} (S)$ . If Φ(S) ⊂ S let $E_{Φ} (S)$ denote $⋂_{k \geq 0} Φ^{k} (S)$ . For given Φ consisting of contracting “pseudo-dilations” (affinities which preserve the directions of the coordinate axes) and subject to further mild technical restrictions we show that there exist self-affine sets $E_{Φ} (S)$ of each Hausdorff dimension between zero and a positive number depending on Φ. We also investigate...

On the Hausdorff Dimension of Rademacher Riesz Products.

C. Karankias, A. Bisbas (1990)

Monatshefte für Mathematik

On the logarithmic potential defined for a Van Koch curve.

Ponomarev, S.P. (2009)

Sibirskij Matematicheskij Zhurnal

On the Magnification of Cantor Sets and their Limit Models.

Tim Bedford, Albert M. Fisher (1996)

Monatshefte für Mathematik

On the maximal run-length function in the Lüroth expansion

Yu Sun, Jian Xu (2018)

Czechoslovak Mathematical Journal

We obtain a metrical property on the asymptotic behaviour of the maximal run-length function in the Lüroth expansion. We also determine the Hausdorff dimension of a class of exceptional sets of points whose maximal run-length function has sub-linear growth rate.

On the Relations Between 2D and 3D Fractal Dimensions: Theoretical Approach and Clinical Application in Bone Imaging

H. Akkari, I. Bhouri, P. Dubois, M. H. Bedoui (2008)

Mathematical Modelling of Natural Phenomena

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 of the...

On the rigidity of one-dimensional systems of contraction similitudes.

Tetenov, A.V. (2006)

Sibirskie Ehlektronnye Matematicheskie Izvestiya [electronic only]

On the self-similar Jordan arcs admitting structure parametrization.

Aseev, V.V, Tetenov, A.V. (2005)

Sibirskij Matematicheskij Zhurnal

On the visibility of invisible sets.

Csörnyei, Marianna (2000)

Annales Academiae Scientiarum Fennicae. Mathematica

On typical Markov operators acting on Borel measures.

Szarek, Tomasz (2005)

Abstract and Applied Analysis

Optimal transportation for multifractal random measures and applications

Rémi Rhodes, Vincent Vargas (2013)

Annales de l'I.H.P. Probabilités et statistiques

In this paper, we study optimal transportation problems for multifractal random measures. Since these measures are much less regular than optimal transportation theory requires, we introduce a new notion of transportation which is intuitively some kind of multistep transportation. Applications are given for construction of multifractal random changes of times and to the existence of random metrics, the volume forms of which coincide with the multifractal random measures.

Orlicz-Sobolev spaces with zero boundary values on metric spaces.

Aïssaoui, Noureddine (2004)

Southwest Journal of Pure and Applied Mathematics [electronic only]

Outer boundaries of self-similar tiles.

Drenning, Shawn, Palagallo, Judith, Price, Thomas, Strichartz, Robert S. (2005)

Experimental Mathematics

Currently displaying 21 – 33 of 33

Previous Page 2