Measuring the cosmic homogeneity scale with SDSS-IV DR16 Quasars
  We report measurements of the scale of cosmic homogeneity ($r_{h}$) using the
recently released quasar sample of the sixteenth data release of the Sloan
Digital Sky Survey (SDSS-IV DR16). We perform our analysis in 2 redshift bins
lying in the redshift interval $2.2 < z < 3.2$ by means of the fractal
dimension $D_2$. By adopting the usual assumption that $r_{h}$ is obtained when
$D_2 \sim 2.97$, that is, within 1% of $D_2=3$, we find the cosmic homogeneity
scale with a decreasing trend with redshift, and in good agreement with the
$\Lambda$CDM prediction. Our results confirm the presence of a homogeneity
scale in the spatial distribution of quasars as predicted by the fundamental
assumptions of the standard cosmological model.
