Multifractal Interpolation of Universal Multifractals
chao-dyn
2007-05-23 v1 Chaotic Dynamics
Abstract
Basing on invariant properties of universal multifractals we propose a simple algorithm for interpolation of multifractal densities. The algorithm admits generalization to a multidimensional case. Analitically obtained are multifractal characteristics of the function interpolating initial data. We establish the relation between the parameter existing in the algorithm and the Levy index which is the main index for scaling function of universal multifractals.
Cite
@article{arxiv.chao-dyn/9711003,
title = {Multifractal Interpolation of Universal Multifractals},
author = {V. G. Bar'yahtar and V. Yu. Gonchar and D. Schertzer and V. V. Yanovsky},
journal= {arXiv preprint arXiv:chao-dyn/9711003},
year = {2007}
}
Comments
LaTeX, 9 pages, no figures