1996/12/23 by Yu Shi, Shi, Yu
Mathematics · #Mathematical Dynamics and Fractals
paper · pdf · doi:10.48550/arxiv.astro-ph/9612227
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.