Uncovering a multiplicative process in one-dimensional cuts of diffusion-limited aggregates

Autor: Emmanuel Bacry, M. Tabard, J. F. Muzy, Alain Arneodo, Françoise Argoul

Publikováno v: Journal of Difference Equations and Applications. 1:117-124

Using a tree-matching algorithm specially devoted to solving the inverse fractal problem, we explore the wavelet transform modulus maxima skeletons of azimuthal Cantor sets obtained by intersecting large mass diffusion-limited aggregates with a circl

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::ea5f6146c19e0552a4ba34fafc64c7ea
https://doi.org/10.1080/10236199508808013

Statistical analysis of off-lattice diffusion-limited aggregates in channel and sector geometries

Autor: M. Tabard, Juan Elezgaray, Alain Arneodo, F. Tallet

Publikováno v: Physical Review E : Statistical, Nonlinear, and Soft Matter Physics
Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, American Physical Society, 1996, 53 (6), pp.6200-6223. ⟨10.1103/PhysRevE.53.6200⟩

International audience; no abstract

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::264d047b92937e88902a4d269a726920
https://hal.archives-ouvertes.fr/hal-01557130

BEYOND CLASSICAL MULTIFRACTAL ANALYSIS USING WAVELETS: UNCOVERING A MULTIPLICATIVE PROCESS HIDDEN IN THE GEOMETRICAL COMPLEXITY OF DIFFUSION LIMITED AGGREGATES

Autor: Françoise Argoul, J. F. Muzy, Emmanuel Bacry, M. Tabard, Alain Arneodo

Publikováno v: Fractals
Fractals, World Scientific Publishing, 1993, 1 (3), pp.629-649. ⟨10.1142/s0218348x93000666⟩

We emphasize the wavelet transform as a very promising tool for solving the inverse fractal problem. We show that a dynamical system which leaves invariant a fractal object can be Uncovered from the space-scale arrangement of its wavelet transform mo

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e7b09f8f8e6aa669686bdf68289b2aec
https://hal.archives-ouvertes.fr/hal-01556994

UNCOVERING FIBONACCI SEQUENCES IN THE FRACTAL MORPHOLOGY OF DIFFUSION-LIMITED AGGREGATES

Autor: Françoise Argoul, M. Tabard, Alain Arneodo, J. F. Muzy

Publikováno v: Physics Letters A
Physics Letters A, Elsevier, 1992, 171 (1-2), pp.31-36. ⟨10.1016/0375-9601(92)90128-9⟩

We use the wavelet transform microscope to explore the internal frozen geometry of large mass off-lattice diffusion limited aggregates (DLA). We show that the statistical self-similarity of these aggregates is intimately related to the existence of a

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b852088066663107f9d41e4c337bae68
https://hal.archives-ouvertes.fr/hal-01556999

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