Fig. 7.
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Upper panel: Specific star formation rate as a function of halo mass and redshift. The black (horizontal line) solid and dashed lines (with slope 1 and crossing Mh = 1012 M⊙ at z = 1.5) show the golden halo mass threshold that distinguishes the hot, cold and cold-in-hot modes, respectively (see Dekel & Birnboim 2006 and Fu et al. 2025). Lower panel: Same as upper panel but for the black hole accretion rate.
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