Redshift evolution of the auto-correlation length, the minimum dark matter halo mass, and the duty cycles of UV-luminous quasars (from top to bottom). The results from the quasar auto- or cross-correlation studies are highlighted in orange (Shen et al. 2007; White et al. 2012; Eftekharzadeh et al. 2015; Arita et al. 2023; Pizzati et al. 2024a; Eilers et al. 2024; Pizzati et al. 2024b; Huang et al. 2026), whereas the gray symbols refer to measurements from quasar proximity zones (gray cross; Chen et al. 2022) and/or IGM damping wings (Davies et al. 2019; Ďurovčíková et al. 2024). The blue symbols indicate the results related to faint broad-line AGN (Arita et al. 2025; Lin et al. 2026) and LRDs (Schindler et al. 2025).