Conditional calculus on fractal structures and its application to galaxy distribution
Astrophysics
2008-02-03 v2 Condensed Matter
Abstract
It is shown that calculus can apply on a fractal structure with the condition that the infinitesimal limit of change of the variable is larger than the lower cut-off of the fractal structure, and an assumption called local decomposability. As an application, it is shown that the angular projection of a fractal distribution in 3-dimensional space is not homogeneous at sufficiently large angles. Therefore the angular projection of galaxy distribution for sufficiently large angles can discriminate the fractal and the homogeneity pictures.
Cite
@article{arxiv.astro-ph/9612227,
title = {Conditional calculus on fractal structures and its application to galaxy distribution},
author = {Yu Shi},
journal= {arXiv preprint arXiv:astro-ph/9612227},
year = {2008}
}
Comments
Latex, 1 figure included