Cosmological growth and feedback from supermassive black holes
  We develop a simple evolutionary scenario for the growth of supermassive
black holes (BHs), assuming growth due to accretion only, to learn about the
evolution of the BH mass function from $z=3$ to 0 and from it calculate the
energy budgets of different modes of feedback. We tune the parameters of the
model by matching the derived X-ray luminosity function (XLF) with the observed
XLF of active galactic nuclei. We then calculate the amount of comoving kinetic
and bolometric feedback as a function of redshift, derive a kinetic luminosity
function and estimate the amount of kinetic feedback and $PdV$ work done by
classical double Fanaroff-Riley II (FR II) radio sources. We also derive the
radio luminosity function for FR IIs from our synthesized population and set
constraints on jet duty cycles. Around 1/6 of the jet power from FR II sources
goes into $PdV$ work done in the expanding lobes during the time the jet is on.
Anti hierarchical growth of BHs is seen in our model due to addition of an
amount of mass being accreted on to all BHs independent of the BH mass. The
contribution to the total kinetic feedback by active galaxies in a low
accretion, kinetically efficient mode is found to be the most significant at
$z<1.5$. FR II feedback is found to be a significant mode of feedback above
redshifts $z\sim 1.5$, which has not been highlighted by previous studies.
