Stochastic processes leading to solid random packings of this kind are also possible. Few generic results exist in the mathematical literature regarding such point sets. An RVT based approach was undertaken to refine this estimate and investigate the lacunarity of such models, using the properties of a ranked series of radii of the 3-D covering spheres. The formal details and results will be reported elsewhere. The specific texture of a fractal cannot be ignored in the study of fractal-like structures of interest for astrophysics.
Textural features carry information about the generating dynamics of a fractal.
RVT provides a useful formal framework to understand the variety of possible prefactor behaviors and their impact on convergence rates of algorithms for scaling exponents. A class of multifractal structures based on apollonian-like solid packings of space with spheres may provide an interesting modeling approach to some scaling properties of the large scale distribution of matter. The RVT based methodology, provides some novel ways to study such structures in more detail. Borgani, S. 1995, Phys. Mandelbrot, B. B. 1995, in Progress in Probability, Vol.