Physics – Fluid Dynamics
Scientific paper
Jun 1994
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994phrve..49.4907b&link_type=abstract
Physical Review E (Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics), Volume 49, Issue 6, June 1994, p
Physics
Fluid Dynamics
3
Fractals In Fluid Dynamics, Distances, Redshifts, Radial Velocities, Spatial Distribution Of Galaxies
Scientific paper
We test a method used to correct the box-counting estimate of fractal dimensions that is suitable only when a finite number of points is allowed. This method is based on the existing relations between the moments of cell counts for the sampling point distribution and the moments of point distribution for the underlying fractal structure. After a formal derivation of such relations, we apply them to fractal point distributions having different resolutions, dimensions, and numbers of sampling points. We find that a dilute sampling of a fractal structure often pollutes the scaling behavior, as revealed by a direct box-counting analysis. On the other hand, our correction procedure allows one to enlarge the scaling range up to more than one decade and also to recover the expected fractal dimension value.
Borgani Stefano
Murante Giuseppe
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