| Title: |
Conditional and Relative Multifractal Spectra |
| Authors: |
Rudolf H. Riedi; R. H. Riedi; I. Scheuring |
| Contributors: |
The Pennsylvania State University CiteSeerX Archives |
| Source: |
ftp://cml.rice.edu/pub/reports/CML9708.ps.Z |
| Publication Year: |
1997 |
| Collection: |
CiteSeerX |
| Description: |
In the study of the involved geometry of singular distributions the use of fractal and multifractal analysis has shown results of outstanding significance. So far, the investigation has focussed on structures produced by one single mechanism which were analyzed with respect to the ordinary metric or volume. Most prominent examples include self-similar measures and attractors of dynamical systems. In certain cases, the multifractal spectrum is known explicitly, providing a characterization in terms of the geometrical properties of the singularities of a distribution. Unfortunately, strikingly different measures may possess identical spectra. To overcome this drawback we propose two novel methods, the conditional and the relative multifractal spectrum, which allow for a direct comparison of two distributions. These notions measure the extent to which the singularities of two distributions `correlate'. Being based on multifractal concepts, however, they go beyond calculating correlations. |
| Document Type: |
text |
| File Description: |
application/postscript |
| Language: |
English |
| Relation: |
http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.52.9076 |
| Availability: |
http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.52.9076 |
| Rights: |
Metadata may be used without restrictions as long as the oai identifier remains attached to it. |
| Accession Number: |
edsbas.EA552124 |
| Database: |
BASE |