Theory of Laplacian fractals: Diffusion limited aggregation and dielectric breakdown model

DOI10.1016/0378-4371(88)90014-3zbMath0681.58047OpenAlexW2046972481MaRDI QIDQ1823531

Luciano Pietronero, Ayşe Erzan, Carl J. G. Evertsz

Publication date: 1988

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0378-4371(88)90014-3

zbMATH Keywords

Laplace equationfractal dimensionmultifractal spectrumfractal structuresstochastic field

Mathematics Subject Classification ID

Applications of global analysis to the sciences (58Z05) Electromagnetic interaction; quantum electrodynamics (81V10) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items (4)

The dynamics of the angular and radial density correlation scaling exponents in fractal to non-fractal morphodynamics ⋮ Formulating a first-principles statistical theory of growing surfaces in two-dimensional Laplacian fields ⋮ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="italic">q</mml:mi></mml:math>-analysis of Fractal Sets ⋮ Discrete scaling and criticality in a chain of adaptive excitable integrators

Cites Work

• Dimensions and entropies of strange attractors from a fluctuating dynamics approach
• Characterisation of intermittency in chaotic systems
• Intermittent turbulence in self-similar cascades: divergence of high moments and dimension of the carrier
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