Astronomy and Astrophysics – Astronomy
Scientific paper
Apr 1997
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1997mnras.286..777w&link_type=abstract
Monthly Notices of the Royal Astronomical Society, Volume 286, Issue 3, pp. 777-784.
Astronomy and Astrophysics
Astronomy
4
Methods: Miscellaneous, Galaxies: Spiral, Galaxies: Structure
Scientific paper
The application of the multifractal formalism to point sets is investigated, with the aim of characterizing galactic structure by the distribution of Hii regions. In this work we test two of the commonly used estimators of the multifractal dimension, namely the correlation sum method and the minimal spanning tree (MST) method, on two multifractals: a multiplicative fractal (beta-model) and the Henon attractor. For the MST method we investigate the effect of varying the range of short or long edges that are rejected (a procedure required to reduce noise and improve the stability of results), and show that large variations in the dimensions can occur. The spurious predictions also appear to be convergent and hence are misleading. The correlation sum method performs much better, agreeing well with the analytic expression for the multifractal spectrum of the beta-model.
Alexander Paul
Sleath J. P.
Wu K. S. K.
No associations
LandOfFree
A study of the properties of multifractal estimators applied to point distributions, with the aim of classifying galaxy structures does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with A study of the properties of multifractal estimators applied to point distributions, with the aim of classifying galaxy structures, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A study of the properties of multifractal estimators applied to point distributions, with the aim of classifying galaxy structures will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-1320335