Fraction of galaxies hosting an X-ray-bright AGN as a function of clustercentric distance r. The fraction of low-mass galaxies (10.15 < log M_*(M_⊙) < 11) is shown on the left and of the massive galaxies (log M_*(M_⊙) > 11) on the right. Results are shown for low redshift (upper panels) and high redshift (lower panels) and for the overlapping and isolated regions (r_ov = 6 R₅₀₀, see Sect. 3). On the right panels, the dotted line represents the massive overlapping populations without the BCGs of the neighbouring clusters. Central BCGs are excluded in all plots. The coloured bands represent the 68% confidence intervals obtained with binomial statistics (see Sect. 3).