COMPLEX FRACTAL DIMENSIONS DESCRIBE THE HIERARCHICAL STRUCTURE OF DIFFUSION-LIMITED-AGGREGATE CLUSTERS

Authors
SORNETTE D JOHANSEN A ARNEODO A MUZY JF SALEUR H
Citation
D. Sornette et al., COMPLEX FRACTAL DIMENSIONS DESCRIBE THE HIERARCHICAL STRUCTURE OF DIFFUSION-LIMITED-AGGREGATE CLUSTERS, Physical review letters, 76(2), 1996, pp. 251-254
Citations number
21
Categorie Soggetti
Physics
Journal title
Physical review letters → ACNP
ISSN journal
00319007
Volume
76
Issue
2
Year of publication
1996
Pages
251 - 254
Database
ISI
SICI code
0031-9007(1996)76:2<251:CFDDTH>2.0.ZU;2-U
Abstract
We analyze large diffusion-limited aggregates and uncover a discrete s caling invariance in their inner structure, which can be quantified by the introduction of a set of complex fractal dimensions. We provide a theoretical framework and prediction of their values based on renorma lization group theory and a previous wavelet analysis.