Left-hand panel: same as the bottom right-hand panel of Fig. 6 for measurements in 10 realisations of a 2048² 2D GRF smoothed with a Gaussian filter on 8 pixels. The height of the peaks are binned as labelled and the separation considered here is r = R = 8 pixels. Right-hand panel: same as left-hand panel when we vary the separation r instead of the peak height, which is set to ν = 3 here. We overplotted the theoretical predictions with dashed lines that are almost indistinguishable from the measurements.