Multifractal spectra and hyperbolic geometry
β Scribed by E. Cesaratto; S. Grynberg; R. Hansen; M. Piacquadio
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 424 KB
- Volume
- 6
- Category
- Article
- ISSN
- 0960-0779
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π SIMILAR VOLUMES
We give here a pair of characterizations for a euclidean disk D which are concerned with the hyperbolic geometry in D and in domains which contain D.
Abrtrrct. This paper relates multifractd featurea of a measure p on IR" to thoee of the projection of the measure onto m-dimensional subpaces. We .chieve thin through the rtudy of appropriately defined convolution kern&. This provides a unified approrcb to projections of measurea and leads to new re
We review the generalized apollonian packings by Bessis and Demko from 3dimensional viewpoints and solve their conjectures on the discreteness of the groups they constructed. Moreover, we systematically generalize the construction of packings in terms of the Coxeter group theory, and propose a compu
Fractals are geometric or physical conΓΏgurations with self-similarity, that is, conΓΏgurations that remain invariant in the presence of "scale changes". Multifractals, are nontrivial structures that possess a spectrum of scaling indices, instead of the simple scaling structure shown in fractals. Usua