Long-tailed distributions and non-uniform expansion in the analysis of large-scale structure

This article presents two caveats for the analysis of large-scale structure. Within distances for which the fractal structure of the distribution of galaxies obtains, fluctuations may be on the scale of the measurements themselves, as is typical of fractals. Second, within this region it is doubtful that the asymptotic recession velocity has been reached. Given the evidence of fractal structure to large distances, these caveats have serious implications for measurements of the Hubble constant.