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Advances in Astronomy
Volume 2012 (2012), Article ID 970858, 21 pages
http://dx.doi.org/10.1155/2012/970858
Review Article

Mass Functions of Supermassive Black Holes across Cosmic Time

1High Energy Astrophysics Division, Harvard-Smithsonian Center for Astrophysics, 60 Garden Street, Cambridge, MA 02138, USA
2Department of Physics, Broida Hall, University of California, Santa Barbara, Santa Barbara, CA 93106, USA
3Max-Planck-Institut für Extraterrestrische Physik, Giessenbachstraße 1, 85748 Garching, Germany

Received 10 September 2011; Accepted 1 December 2011

Academic Editor: Francesca Civano

Copyright © 2012 Brandon C. Kelly and Andrea Merloni. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. J. Kormendy and D. Richstone, “Inward bound-the search for supermassive black holes in galactic nuclei,” Annual Review of Astronomy and Astrophysics, vol. 33, no. 1, pp. 581–624, 1995.
  2. R. J. McLure and J. S. Dunlop, “The black hole masses of Seyfert galaxies and quasars,” Monthly Notices of the Royal Astronomical Society, vol. 327, no. 1, pp. 199–207, 2001. View at Publisher · View at Google Scholar
  3. R. J. McLure and J. S. Dunlop, “On the black hole-bulge mass relation in active and inactive galaxies,” Monthly Notices of the Royal Astronomical Society, vol. 331, no. 3, pp. 795–804, 2002. View at Publisher · View at Google Scholar
  4. K. Gebhardt, R. Bender, G. Bower et al., “A relationship between nuclear black hole mass and galaxy velocity dispersion,” Astrophysical Journal, vol. 539, no. 1, pp. L13–L16, 2000.
  5. D. Merritt and L. Ferrarese, “The M-σ relation for supermassive black holes,” Astrophysical Journal, vol. 547, no. 1, pp. 140–145, 2001. View at Publisher · View at Google Scholar
  6. S. Tremaine, K. Gebhardt, R. Bender et al., “The slope of the black hole mass versus velocity dispersion correlation,” Astrophysical Journal, vol. 574, no. 2, pp. 740–753, 2002. View at Publisher · View at Google Scholar
  7. A. W. Graham, P. Erwin, N. Caon, and I. Trujillo, “A correlation between galaxy light concentration and supermassive black hole mass,” Astrophysical Journal, vol. 563, no. 1, pp. L11–L14, 2001. View at Publisher · View at Google Scholar
  8. A. W. Graham and S. P. Driver, “A log-quadratic relation for predicting supermassive black hole masses from the host bulge sérsic index,” Astrophysical Journal Letters, vol. 655, no. 1, pp. 77–87, 2007. View at Publisher · View at Google Scholar
  9. J. Magorrian, S. Tremaine, D. Richstone et al., “The demography of massive dark objects in galaxy centers,” Astronomical Journal, vol. 115, no. 6, pp. 2285–2305, 1998.
  10. A. Marconi and L. K. Hunt, “The relation between black hole mass, bulge mass, and near-Infrared luminosity,” Astrophysical Journal Letters, vol. 589, no. 1, pp. L21–L24, 2003. View at Publisher · View at Google Scholar
  11. N. Häring and H.-W. Rix, “On the black hole mass-bulge mass relation,” Astrophysical Journal Letters, vol. 604, no. 2, pp. L89–L92, 2004. View at Publisher · View at Google Scholar
  12. M. C. Aller and D. O. Richstone, “Host galaxy bulge predictors of supermassive black hole mass,” Astrophysical Journal, vol. 665, no. 1, pp. 120–156, 2007. View at Publisher · View at Google Scholar
  13. P. F. Hopkins, L. Hernquist, T. J. Cox, B. Robertson, and E. Krause, “A theoretical interpretation of the black hole fundamental plane,” Astrophysical Journal, vol. 669, no. 1, pp. 45–66, 2007. View at Publisher · View at Google Scholar
  14. J. Silk and M. J. Rees, “Quasars and galaxy formation,” Astronomy and Astrophysics, vol. 331, no. 2, pp. L1–L4, 1998.
  15. A. C. Fabian, “The obscured growth of massive black holes,” Monthly Notices of the Royal Astronomical Society, vol. 308, no. 4, pp. L39–L43, 1999.
  16. M. C. Begelman and B. B. Nath, “Self-regulated black hole accretion, the M-σ relation and the growth of bulges in galaxies,” Monthly Notices of the Royal Astronomical Society, vol. 361, no. 4, pp. 1387–1392, 2005. View at Publisher · View at Google Scholar
  17. N. Murray, E. Quataert, and T. A. Thompson, “On the maximum luminosity of galaxies and their central black holes: feedback from momentum-driven winds,” Astrophysical Journal, vol. 618, no. 2, pp. 569–585, 2005. View at Publisher · View at Google Scholar
  18. C. Y. Peng, “How mergers may affect the mass scaling relation between geuvitationally bound systems,” Astrophysical Journal Letters, vol. 671, no. 2, pp. 1098–1107, 2007. View at Publisher · View at Google Scholar
  19. K. Jahnke and A. V. Macciò, “The non-causal origin of the black-hole-galaxy scaling relations,” Astrophysical Journal Letters, vol. 734, no. 2, article 92, 2011. View at Publisher · View at Google Scholar
  20. T. Di Matteo, V. Springel, and L. Ilernquist, “Energy input from quasars regulates the growth and activity of black holes and their host galaxies,” Nature, vol. 433, no. 7026, pp. 604–607, 2005. View at Publisher · View at Google Scholar · View at PubMed
  21. V. Springel, T. Di Matteo, and L. Hernquist, “Black holes in galaxy mergers: the formation of red elliptical galaxies,” Astrophysical Journal, vol. 620, no. 2, pp. L79–L82, 2005. View at Publisher · View at Google Scholar
  22. P. H. Johansson, T. Naab, and A. Burkert, “Equal- and unequal-mass mergers of disk and elliptical galaxies with black holes,” Astrophysical Journal, vol. 690, no. 1, pp. 802–821, 2009. View at Publisher · View at Google Scholar
  23. R. G. Bower, A. J. Benson, R. Malbon et al., “Breaking the hierarchy of galaxy formation,” Monthly Notices of the Royal Astronomical Society, vol. 370, no. 2, pp. 645–655, 2006. View at Publisher · View at Google Scholar
  24. D. J. Croton, V. Springel, S. D. M. White et al., “The many lives of active galactic nuclei: cooling flows, black holes and the luminosities and colours of galaxies,” Monthly Notices of the Royal Astronomical Society, vol. 365, no. 1, pp. 11–28, 2006. View at Publisher · View at Google Scholar
  25. M. G. Haehnelt, P. Natarajan, and M. J. Rees, “High-redshift galaxies, their active nuclei and central black holes,” Monthly Notices of the Royal Astronomical Society, vol. 300, no. 3, pp. 817–827, 1998.
  26. G. Kauffmann and M. Haehnelt, “A unified model for the evolution of galaxies and quasars,” Monthly Notices of the Royal Astronomical Society, vol. 311, no. 3, pp. 576–588, 2000.
  27. M. G. Haehnelt and G. Kauffmann, “The correlation between black hole mass and bulge velocity dispersion in hierarchical galaxy formation models,” Monthly Notices of the Royal Astronomical Society, vol. 318, no. 3, pp. L35–L38, 2000.
  28. J. S. B. Wyithe and A. Loeb, “Self-regulated growth of supermassive black holes in galaxies as the origin of the optical and X-ray luminosity functions of quasars,” Astrophysical Journal, vol. 595, no. 2, pp. 614–623, 2003. View at Publisher · View at Google Scholar
  29. M. Volonteri, F. Haardt, and P. Madau, “The assembly and merging history of supermassive black holes in hierarchical models of galaxy formation,” Astrophysical Journal, vol. 582, no. 2, pp. 559–573, 2003. View at Publisher · View at Google Scholar
  30. A. Cattaneo, J. Blaizot, J. Devriendt, and B. Guiderdoni, “Active galactic nuclei in cosmological simulations -I. Formation of black holes and spheroids through mergers,” Monthly Notices of the Royal Astronomical Society, vol. 364, no. 2, pp. 407–423, 2005. View at Publisher · View at Google Scholar
  31. T. Di Matteo, J. Colberg, V. Springel, L. Hernquist, and D. Sijacki, “Direct cosmological simulations of the growth of black holes and galaxies,” Astrophysical Journal, vol. 676, no. 1, pp. 33–53, 2008. View at Publisher · View at Google Scholar
  32. R. S. Somerville, P. F. Hopkins, T. J. Cox, B. E. Robertson, and L. Hernquist, “A semi-analytic model for the co-evolution of galaxies, black holes and active galactic nuclei,” Monthly Notices of the Royal Astronomical Society, vol. 391, no. 2, pp. 481–506, 2008. View at Publisher · View at Google Scholar
  33. C. M. Booth and J. Schaye, “Cosmological simulations of the growth of supermassive black holes and feedback from active galactic nuclei: method and tests,” Monthly Notices of the Royal Astronomical Society, vol. 398, no. 1, pp. 53–74, 2009. View at Publisher · View at Google Scholar
  34. F. Marulli, E. Branchini, L. Moscardini, and M. Volonteri, “Modelling active galactic nuclei: ongoing problems for the faint-end of the luminosity function,” Monthly Notices of the Royal Astronomical Society, vol. 375, no. 2, pp. 649–656, 2007. View at Publisher · View at Google Scholar
  35. L. Ciotti and J. P. Ostriker, “Cooling flows and quasars. II. Detailed models of feedback-modulated accretion flows,” Astrophysical Journal, vol. 551, no. 1, pp. 131–152, 2001.
  36. P. F. Hopkins and L. Hernquist, “Fueling low-level AGN activity through stochastic accretion of cold gas,” Astrophysical Journal Supplement Series, vol. 166, no. 1, pp. 1–36, 2006. View at Publisher · View at Google Scholar
  37. O. Guyon, D. B. Sanders, and A. Stockton, “Near-infrared adaptive optics imaging of QSO host galaxies,” Astrophysical Journal Supplement Series, vol. 166, no. 1, pp. 89–127, 2006. View at Publisher · View at Google Scholar
  38. J. M. Gabor, et al., “Active galactic nucleus host galaxy morphologies in COSMOS,” The Astrophysical Journal, vol. 691, no. 1, pp. 705–722, 2009.
  39. A. Georgakakis, A. L. Coil, E. S. Laird et al., “Host galaxy morphologies of X-ray selected AGN: assessing the significance of different black hole fuelling mechanisms to the accretion density of the Universe at z ~ 1,” Monthly Notices of the Royal Astronomical Society, vol. 397, no. 2, pp. 623–633, 2009. View at Publisher · View at Google Scholar
  40. A. Merloni, S. Heinz, and T. Di Matteo, “A fundamental plane of black hole activity,” Monthly Notices of the Royal Astronomical Society, vol. 345, no. 4, pp. 1057–1076, 2003. View at Publisher · View at Google Scholar
  41. H. Falcke, E. Körding, and S. Markoff, “A scheme to unify low-power accreting black holes. Jet-dominated accretion flows and the radio/X-ray correlation,” Astronomy and Astrophysics, vol. 414, no. 3, pp. 895–903, 2004. View at Publisher · View at Google Scholar
  42. I. M. McHardy, E. Koerding, C. Knigge, P. Uttley, and R. P. Fender, “Active galactic nuclei as scaled-up Galactic black holes,” Nature, vol. 444, no. 7120, pp. 730–732, 2006. View at Publisher · View at Google Scholar · View at PubMed
  43. S. W. Davis and A. Laor, “The radiative efficiency of accretion flows in individual active galactic nuclei,” Astrophysical Journal Letters, vol. 728, no. 2, article 98, 2011. View at Publisher · View at Google Scholar
  44. M. A. Sobolewska, A. Siemiginowska, and M. Gierliński, “Simulated spectral states of active galactic nuclei and observational predictions,” Monthly Notices of the Royal Astronomical Society, vol. 413, no. 3, pp. 2259–2268, 2011. View at Publisher · View at Google Scholar
  45. B. C. Kelly, M. Sobolewska, and A. Siemiginowska, “A stochastic model for the luminosity fluctuations of accreting black holes,” Astrophysical Journal Letters, vol. 730, no. 1, article 52, 2011. View at Publisher · View at Google Scholar
  46. B. C. Kelly, M. Vestergaard, and X. Fan, “Determining quasar black hole mass functions from their broad emission lines: application to the bright quasar survey,” The Astrophysical Journal, vol. 692, article 1388, 2009.
  47. A. Wandel, B. M. Peterson, and M. A. Malkan, “Central masses and broad-line region sizes of active galactic nuclei. I. Comparing the photoionization and reverberation techniques,” Astrophysical Journal, vol. 526, no. 2, pp. 579–591, 1999.
  48. M. Vestergaard and B. M. Peterson, “Determining central black hole masses in distant active galaxies and quasars. II. Improved optical and UV scaling relationships,” Astrophysical Journal, vol. 641, no. 2, pp. 689–709, 2006. View at Publisher · View at Google Scholar
  49. M. Nikolajuk, I. E. Papadakis, and B. Czerny, “Black hole mass estimation from X-ray variability measurements in active galactic nuclei,” Monthly Notices of the Royal Astronomical Society, vol. 350, no. 2, pp. L26–L30, 2004. View at Publisher · View at Google Scholar
  50. X.-L. Zhou, S.-N. Zhang, D.-X. Wang, and L. Zhu, “Calibrating the correlation between black hole mass and x-ray variability amplitude: X-ray only black hole mass estimates for active galactic nuclei and ultra-luminous x-ray sources,” Astrophysical Journal Letters, vol. 710, no. 1, pp. 16–23, 2010. View at Publisher · View at Google Scholar
  51. K. Gültekin, D. O. Richstone, K. Gebhardt et al., “The M-σ and M-L relations in galactic bulges, and determinations of their intrinsic scatter,” Astrophysical Journal, vol. 698, no. 1, pp. 198–221, 2009. View at Publisher · View at Google Scholar
  52. B. C. Kelly, X. Fan, and M. Vestergaard, “A flexible method of estimating luminosity functions,” Astrophysical Journal, vol. 682, no. 2, pp. 874–895, 2008. View at Publisher · View at Google Scholar
  53. A. Marconi, G. Risaliti, R. Gilli, L. K. Hunt, R. Maiolino, and M. Salvati, “Local supermassive black holes, relics of active galactic nuclei and the X-ray background,” Monthly Notices of the Royal Astronomical Society, vol. 351, no. 1, pp. 169–185, 2004. View at Publisher · View at Google Scholar
  54. P. Salucci, E. Szuszkiewicz, P. Monaco, and L. Danese, “Mass function of dormant black holes and the evolution of active galactic nuclei,” Monthly Notices of the Royal Astronomical Society, vol. 307, no. 3, pp. 637–644, 1999.
  55. Q. Yu and S. Tremaine, “Observational constraints on growth of massive black holes,” Monthly Notices of the Royal Astronomical Society, vol. 335, no. 4, pp. 965–976, 2002. View at Publisher · View at Google Scholar
  56. M. C. Aller and D. Richstone, “The cosmic density of massive black holes from galaxy velocity dispersions,” Astronomical Journal, vol. 124, no. 6, pp. 3035–3041, 2002. View at Publisher · View at Google Scholar
  57. F. Shankar, P. Salucci, G. L. Granato, G. De Zotti, and L. Danese, “Supermassive black hole demography: the match between the local and accreted mass functions,” Monthly Notices of the Royal Astronomical Society, vol. 354, no. 4, pp. 1020–1030, 2004. View at Publisher · View at Google Scholar
  58. T. R. Lauer, S. M. Faber, D. Richstone et al., “The masses of nuclear black holes in luminous elliptical galaxies and implications for the space density of the most massive black holes,” Astrophysical Journal, vol. 662, no. 2, pp. 808–834, 2007. View at Publisher · View at Google Scholar
  59. A. W. Graham, S. P. Driver, P. D. Allen, and J. Liske, “The Millennium Galaxy Catalogue: the local supermassive black hole mass function in early- and late-type galaxies,” Monthly Notices of the Royal Astronomical Society, vol. 378, no. 1, pp. 198–210, 2007. View at Publisher · View at Google Scholar
  60. A. W. Graham and S. P. Driver, “The local supermassive black hole mass density: corrections for dependencies on the Hubble constant,” Monthly Notices of the Royal Astronomical Society, vol. 380, no. 1, pp. L15–L19, 2007. View at Publisher · View at Google Scholar
  61. E. Tundo, M. Bernardi, J. B. Hyde, R. K. Sheth, and A. Pizzella, “On the inconsistency between the black hole mass function inferred from M.-σ and M.-L correlations,” Astrophysical Journal, vol. 663, no. 1, pp. 53–60, 2007. View at Publisher · View at Google Scholar
  62. Q. Yu and Y. Lu, “Toward precise constraints on the growth of massive black holes,” Astrophysical Journal Letters, vol. 689, no. 2, pp. 732–754, 2008. View at Publisher · View at Google Scholar
  63. A. Merloni and S. Heinz, “A synthesis model for AGN evolution: supermassive black holes growth and feedback modes,” Monthly Notices of the Royal Astronomical Society, vol. 388, no. 3, pp. 1011–1030, 2008. View at Publisher · View at Google Scholar
  64. F. Shankar, D. H. Weinberg, and J. Miralda-Escudé, “Self-consistent models of the AGN and black hole populations: duty cycles, accretion rates, and the mean radiative efficiency,” Astrophysical Journal Letters, vol. 690, no. 1, pp. 20–41, 2009. View at Publisher · View at Google Scholar
  65. M. Vika, S. P. Driver, A. W. Graham, and J. Liske, “The Millennium Galaxy Catalogue: the Mbh-Lspheroid derived supermassive black hole mass function,” Monthly Notices of the Royal Astronomical Society, vol. 400, no. 3, pp. 1451–1460, 2009. View at Publisher · View at Google Scholar
  66. N. Tamura, K. Ohta, and Y. Ueda, “Supermassive black hole mass functions at intermediate redshifts from spheroid and AGN luminosity functions,” Monthly Notices of the Royal Astronomical Society, vol. 365, no. 1, pp. 134–146, 2006. View at Publisher · View at Google Scholar
  67. F. Shankar, M. Bernardi, and Z. Haiman, “The evolution of the MBH-σ relation inferred from the age distribution of local early-type galaxies and active galactic nuclei evolution,” Astrophysical Journal Letters, vol. 694, no. 2, pp. 867–878, 2009. View at Publisher · View at Google Scholar
  68. Z. Haiman, L. Ciotti, and J. P. Ostriker, “Reasoning from fossils: learning from the local black hole population about the evolution of quasars,” Astrophysical Journal Letters, vol. 606, no. 2, pp. 763–773, 2004. View at Publisher · View at Google Scholar
  69. Z. Haiman, R. Jimenez, and M. Bernardi, “Reconstructing the cosmic evolution of quasars from the age distribution of local early-type galaxies,” Astrophysical Journal Letters, vol. 658, no. 2, pp. 721–730, 2007. View at Publisher · View at Google Scholar
  70. T. Treu, M. A. Malkan, and R. D. Blandford, “The relation between black hole mass and velocity dispersion at z ~ 0.37,” Astrophysical Journal, vol. 615, no. 2, pp. L97–L100, 2004. View at Publisher · View at Google Scholar
  71. C. Y. Peng, C. D. Impey, H. W. Rix et al., “Probing the coevolution of supermassive black holes and galaxies using gravitationally lensed quasar hosts,” Astrophysical Journal, vol. 649, no. 2, pp. 616–634, 2006. View at Publisher · View at Google Scholar
  72. T. Treu, J. H. Woo, M. A. Malkan, and R. D. Blandford, “Cosmic evolution of black holes and spheroids. II. Scaling relations at z = 0.36,” Astrophysical Journal, vol. 667, no. 1, pp. 117–130, 2007. View at Publisher · View at Google Scholar
  73. J. H. Woo, T. Treu, M. A. Malkan, and R. D. Blandford, “Cosmic evolution of black holes and spheroids. III. The M BH-σ* relation in the last six billion years,” Astrophysical Journal, vol. 681, no. 2, pp. 925–930, 2008. View at Publisher · View at Google Scholar
  74. A. Merloni, A. Bongiorno, M. Bolzonella et al., “On the cosmic evolution of the scaling relations between black holes and their host galaxies: broad-line active galactic nuclei in the zCosmos survey,” Astrophysical Journal, vol. 708, no. 1, pp. 137–157, 2010. View at Publisher · View at Google Scholar
  75. V. N. Bennert, T. Treu, J. H. Woo et al., “Cosmic evolution of black holes and spheroids. IV. the M BH-L sph relation,” Astrophysical Journal, vol. 708, no. 2, pp. 1507–1527, 2010. View at Publisher · View at Google Scholar
  76. T. R. Lauer, S. Tremaine, D. Richstone, and S. M. Faber, “Selection bias in observing the cosmological evolution of the M-σ- and M-L relationships,” Astrophysical Journal, vol. 670, no. 1, pp. 249–260, 2007. View at Publisher · View at Google Scholar
  77. Y. Shen and B. C. Kelly, “The impact of the uncertainty in single-epoch virial black hole mass estimates on the observed evolution of the black hole-bulge scaling relations,” Astrophysical Journal Letters, vol. 713, no. 1, pp. 41–45, 2010. View at Publisher · View at Google Scholar
  78. R. K. Sheth, M. Bernardi, P. L. Schechter et al., “The velocity dispersion function of early-type galaxies,” Astrophysical Journal, vol. 594, no. 1, pp. 225–231, 2003. View at Publisher · View at Google Scholar
  79. M. Bernardi, R. K. Sheth, E. Tundo, and J. B. Hyde, “Selection bias in the M-σ and M-L correlations and its consequences,” Astrophysical Journal, vol. 660, no. 1, pp. 267–275, 2007. View at Publisher · View at Google Scholar
  80. A. W. Graham, “Fundamental planes and the barless MBH-σ relation for supermassive black holes,” Astrophysical Journal Letters, vol. 680, no. 1, pp. 143–153, 2008. View at Publisher · View at Google Scholar
  81. J. E. Greene, C. Y. Peng, M. Kim et al., “Precise black hole masses from megamaser disks: black hole-bulge relations at low mass,” Astrophysical Journal Letters, vol. 721, no. 1, pp. 26–45, 2010. View at Publisher · View at Google Scholar
  82. J. Hu, “The black hole mass-stellar velocity dispersion correlation: bulges versus pseudo-bulges,” Monthly Notices of the Royal Astronomical Society, vol. 386, no. 4, pp. 2242–2252, 2008. View at Publisher · View at Google Scholar
  83. J. E. Greene, L. C. Ho, and A. J. Barth, “Black holes in pseudobulges and spheroidals: a change in the black hole-bulge scaling relations at low mass,” Astrophysical Journal, vol. 688, no. 1, pp. 159–179, 2008. View at Publisher · View at Google Scholar
  84. A. W. Graham and I. H. Li, “The M bh-σ diagram and the offset nature of barred active galaxies,” Astrophysical Journal, vol. 698, no. 1, pp. 812–818, 2009. View at Publisher · View at Google Scholar
  85. J. Kormendy, R. Bender, and M. E. Cornell, “Supermassive black holes do not correlate with galaxy disks or pseudobulges,” Nature, vol. 469, no. 7330, pp. 374–376, 2011. View at Publisher · View at Google Scholar · View at PubMed
  86. A. W. Graham, C. A. Onken, E. Athanassoula, and F. Combes, “An expanded Mbh-σ diagram, and a new calibration of active galactic nuclei masses,” Monthly Notices of the Royal Astronomical Society, vol. 412, no. 4, pp. 2211–2228, 2011. View at Publisher · View at Google Scholar
  87. A. Soltan, “Masses of quasars,” Monthly Notices of the Royal Astronomical Society, vol. 200, pp. 115–122, 1982.
  88. Q. Yu and Y. Lu, “Constraints on QSO models from a relation between the QSO luminosity function and the local black hole mass function,” Astrophysical Journal Letters, vol. 602, no. 2 I, pp. 603–624, 2004. View at Publisher · View at Google Scholar
  89. A. Merloni, “The anti-hierarchical growth of supermassive black holes,” Monthly Notices of the Royal Astronomical Society, vol. 353, no. 4, pp. 1035–1047, 2004. View at Publisher · View at Google Scholar
  90. P. F. Hopkins, G. T. Richards, and L. Hernquist', “An observational determination of the bolometric quasar luminosity function,” Astrophysical Journal, vol. 654, no. 2, pp. 731–753, 2007. View at Publisher · View at Google Scholar
  91. X. Cao and F. Li, “Rapidly spinning massive black holes in active galactic nuclei: evidence from the black hole mass function,” Monthly Notices of the Royal Astronomical Society, vol. 390, no. 2, pp. 561–566, 2008. View at Publisher · View at Google Scholar
  92. X. Cao, “Cosmological evolution of massive black holes: Effects of eddington ratio distribution and quasar lifetime,” Astrophysical Journal, vol. 725, no. 1, pp. 388–393, 2010. View at Publisher · View at Google Scholar
  93. A. Cavaliere, P. Morrison, and K. Wood, “On Quasar evolution,” Astrophysical Journal, vol. 170, pp. 223–231, 1971.
  94. T. A. Small and R. D. Blandford, “Quasar evolution and the growth of black holes,” Monthly Notices of the Royal Astronomical Society, vol. 259, pp. 725–737, 1992.
  95. B. C. Kelly, J. Bechtold, J. R. Trump, M. Vestergaard, and M. Siemiginowska, “Observational constraints on the dependence of radio-quiet quasar X-ray emission on black hole mass and accretion rate,” Astrophysical Journal Supplement Series, vol. 176, no. 2, pp. 355–373, 2008. View at Publisher · View at Google Scholar
  96. R. V. Vasudevan and A. C. Fabian, “Piecing together the X-ray background: bolometric corrections for active galactic nuclei,” Monthly Notices of the Royal Astronomical Society, vol. 381, no. 3, pp. 1235–1251, 2007. View at Publisher · View at Google Scholar
  97. R. V. Vasudevan, R. F. Mushotzky, L. M. Winter, and A. C. Fabian, “Optical-to-X-ray emission in low-absorption AGN: results from the Swift-BAT 9-month catalogue,” Monthly Notices of the Royal Astronomical Society, vol. 399, no. 3, pp. 1553–1575, 2009. View at Publisher · View at Google Scholar
  98. S. I. Raimundo and A. C. Fabian, “Eddington ratio and accretion efficiency in active galactic nuclei evolution,” Monthly Notices of the Royal Astronomical Society, vol. 396, no. 3, pp. 1217–1221, 2009. View at Publisher · View at Google Scholar
  99. P. F. Hopkins, L. Hernquist, T. J. Cox, B. Robertson, T. Di Matteo, and V. Springel, “The evolution in the faint-end slope of the quasar luminosity function,” Astrophysical Journal, vol. 639, no. 2, pp. 700–709, 2006. View at Publisher · View at Google Scholar
  100. Q. Yu, Y. Lu, and G. Kauffmann, “Evolution of accretion disks around massive black holes: constraints from the demography of active galactic nuclei,” Astrophysical Journal, vol. 634, no. 2, pp. 901–909, 2005. View at Publisher · View at Google Scholar
  101. A. R. King and J. E. Pringle, “Fuelling active galactic nuclei,” Monthly Notices of the Royal Astronomical Society, vol. 377, no. 1, pp. L25–L28, 2007. View at Publisher · View at Google Scholar
  102. B. M. Peterson, L. Ferrarese, K. M. Gilbert et al., “Central masses and broad-line region sizes of active galactic nuclei. II. A homogeneous analysis of a large reverberation-mapping database,” Astrophysical Journal Letters, vol. 613, no. 2, pp. 682–699, 2004. View at Publisher · View at Google Scholar
  103. M. C. Bentz, et al., “The lick AGN monitoring project: broad-line region radii and black hole masses from reverberation mapping of Hβ,” Astrophysical Journal, vol. 705, article 199, 2009.
  104. S. Kaspi, D. Maoz, H. Netzer, B. M. Peterson, M. Vestergaard, and B. T. Jannuzi, “The relationship between luminosity and broad-line region size in active galactic nuclei,” Astrophysical Journal, vol. 629, no. 1, pp. 61–71, 2005. View at Publisher · View at Google Scholar
  105. M. C. Bentz, B. M. Peterson, H. Netzer, R. W. Pogge, and M. Vestergaard, “The radius-luminosity relationship for active galactic nuclei: the effect of host-galaxy starlight on luminosity measurements. II. the full sample of reverberation-mapped agns,” Astrophysical Journal, vol. 697, no. 1, pp. 160–181, 2009. View at Publisher · View at Google Scholar
  106. C. A. Onken, L. Ferrarese, D. Merritt et al., “Supermassive black holes in active galactic nuclei. II. Calibration of the black hole mass-velocity dispersion relationship for active galactic nuclei,” Astrophysical Journal, vol. 615, no. 2, pp. 645–651, 2004. View at Publisher · View at Google Scholar
  107. J.-H. Woo, T. Treu, A. J. Barth et al., “The lick AGN monitoring project: the MBH- σ* relation for reverberation-mapped active galaxies,” Astrophysical Journal Letters, vol. 716, no. 1, pp. 269–280, 2010. View at Publisher · View at Google Scholar
  108. J. E. Greene and L. C. Ho, “Estimating black hole masses in active galaxies using the Hα emission line,” Astrophysical Journal, vol. 630, no. 1, pp. 122–129, 2005. View at Publisher · View at Google Scholar
  109. R. J. McLure and M. J. Jarvis, “Measuring the black hole masses of high-redshift quasars,” Monthly Notices of the Royal Astronomical Society, vol. 337, no. 1, pp. 109–116, 2002. View at Publisher · View at Google Scholar
  110. M. Vestergaard and P. S. Osmer, “Mass functions of the active black holes in distant quasars from the large bright quasar survey, the bright quasar survey, and the color-selected sample of the sdss fall equatorial stripe,” Astrophysical Journal, vol. 699, no. 1, pp. 800–816, 2009. View at Publisher · View at Google Scholar
  111. Y. Shen, G. T. Richards, M. A. Strauss et al., “A catalog of quasar properties from Sloan Digital Sky Survey Data Release 7,” Astrophysical Journal Supplement Series, vol. 194, no. 2, article 45, 2011. View at Publisher · View at Google Scholar
  112. J. A. Kollmeier, C. A. Unken, C. S. Kochanek et al., “Black hole masses and eddington ratios at 0.3 < z < 4,” Astrophysical Journal, vol. 648, no. 1, pp. 128–139, 2006. View at Publisher · View at Google Scholar
  113. Y. Shen, J. E. Greene, M. A. Strauss, G. T. Richards, and D. P. Schneider, “Biases in virial black hole masses: an SDSS perspective,” Astrophysical Journal, vol. 680, no. 1, pp. 169–190, 2008. View at Publisher · View at Google Scholar
  114. C. L. Steinhardt and M. Elvis, “The quasar mass-luminosity plane-III. Smaller errors on virial mass estimates,” Monthly Notices of the Royal Astronomical Society, vol. 406, no. 1, pp. L1–L5, 2010. View at Publisher · View at Google Scholar
  115. B. C. Kelly, M. Vestergaard, X. Fan, P. Hopkins, L. Hernquist, and A. Siemiginowska, “Constraints on black hole growth, quasar lifetimes, and Eddington ratio distributions from the SDSS broad-line quasar black hole mass function,” Astrophysical Journal, vol. 719, no. 2, pp. 1315–1334, 2010. View at Publisher · View at Google Scholar
  116. Y. Shen and B. C. Kelly, “The demographics of broad-line quasars in the mass-luminosity plane. I. testing FWHM-based virial black hole masses,” Astrophysical Journal. In press.
  117. J.-M. Wang, Y. M. Chen, and F. Zhang, “Cosmological evolution of the duty cycle of quasars,” Astrophysical Journal Letters, vol. 647, no. 1, pp. L17–L20, 2006. View at Publisher · View at Google Scholar
  118. J. E. Greene and L. C. Ho, “The mass function of active black holes in the local universe,” Astrophysical Journal, vol. 667, no. 1, pp. 131–148, 2007. View at Publisher · View at Google Scholar
  119. M. Vestergaard, X. Fan, C. A. Tremonti, P. S. Osmer, and G. T. Richards, “Mass functions of the active black holes in distant quasars from the sloan digital sky survey data release 3,” Astrophysical Journal, vol. 674, no. 1, pp. L1–L4, 2008. View at Publisher · View at Google Scholar
  120. G. T. Richards, M. A. Strauss, X. Fan et al., “The sloan digital sky survey quasar survey: quasar luminosity function from data release 3,” Astronomical Journal, vol. 131, no. 6, pp. 2766–2787, 2006. View at Publisher · View at Google Scholar
  121. A. Schulze and L. Wisotzki, “Low redshift AGN in the Hamburg/ESO Survey: II. The active black hole mass function and the distribution function of Eddington ratios,” Astronomy and Astrophysics, vol. 516, no. 15, article A87, 2010. View at Publisher · View at Google Scholar
  122. M. Schmidt and R. F. Green, “Quasar evolution derived from the Palomar bright quasar survey and other complete quasar surveys,” Astrophysical Journal, vol. 269, pp. 352–374, 1983.
  123. P. Natarajan and E. Treister, “Is there an upper limit to black hole masses?” Monthly Notices of the Royal Astronomical Society, vol. 393, no. 3, pp. 838–845, 2009. View at Publisher · View at Google Scholar
  124. D. Sijacki, V. Springel, and M. G. Haehnelt, “Growing the first bright quasars in cosmological simulations of structure formation,” Monthly Notices of the Royal Astronomical Society, vol. 400, no. 1, pp. 100–122, 2009. View at Publisher · View at Google Scholar
  125. J. E. Greene and L. C. Ho, “Active galaxies and the study of black hole demographics,” Publications of the Astronomical Society of the Pacific, vol. 121, no. 885, pp. 1167–1171, 2009. View at Publisher · View at Google Scholar
  126. S. Collin, T. Kawaguchi, B. M. Peterson, and M. Vestergaard, “Systematic effects in measurement of black hole masses by emission-line reverberation of active galactic nuclei: eddington ratio and inclination,” Astronomy and Astrophysics, vol. 456, no. 1, pp. 75–90, 2006. View at Publisher · View at Google Scholar
  127. G. T. Richards, N. E. Kruczek, S. C. Gallagher et al., “Unification of luminous type 1 quasars through Civ emission,” Astronomical Journal, vol. 141, no. 5, article 167, 2011. View at Publisher · View at Google Scholar
  128. A. Marconi, D. J. Axon, R. Maiolino et al., “The effect of radiation pressure on virial black hole mass estimates and the case of narrow-line Seyfert 1 galaxies,” Astrophysical Journal, vol. 678, no. 2, pp. 693–700, 2008. View at Publisher · View at Google Scholar
  129. H. Netzer, “Radiation pressure force and black hole mass determination in low redshift type-I and type-II active galactic nuclei,” The Astrophysical Journal, vol. 695, no. 1, article 793, 2009.
  130. A. Marconi, D. J. Axon, R. Maiolino, et al., “On the observed distributions of black hole masses and eddington ratios from radiation pressure corrected virial indicators,” The Astrophysical Journal Letters, vol. 698, no. 2, article L103, 2009.
  131. H. Netzer and P. Marziani, “The effect of radiation pressure on emission-line profiles and black hole mass determination in active galactic nuclei,” Astrophysical Journal, vol. 724, no. 1, pp. 318–328, 2010. View at Publisher · View at Google Scholar
  132. K. D. Denney, B. M. Peterson, M. Dietrich, M. Vestergaard, and M. C. Bentz, “Systematic uncertainties in measuring black hole masses from single epoch spectra,” The Astrophysical Journal, vol. 692, article 246, 2009.
  133. R. I. Davies, J. Thomas, R. Genzel et al., “The star-forming torus and stellar dynamical black hole mass in the Seyfert 1 nucleus of NGC 3227,” Astrophysical Journal, vol. 646, no. 2, pp. 754–773, 2006. View at Publisher · View at Google Scholar
  134. E. K. S. Hicks and M. A. Malkan, “Circumnuclear gas in seyfert 1 galaxies: morphology, kinematics, and direct measurement of black hole masses,” Astrophysical Journal Supplement Series, vol. 174, no. 1, pp. 31–73, 2008. View at Publisher · View at Google Scholar
  135. C. A. Onken, M. Valluri, B. M. Peterson et al., “The black hole mass of NGC 4151: comparison of reverberation mapping and stellar dynamical measurements,” Astrophysical Journal, vol. 670, no. 1, pp. 105–115, 2007. View at Publisher · View at Google Scholar
  136. A. Siemiginowska and M. Elvis, “Deriving the quasar luminosity function from accretion-disk instabilities,” Astrophysical Journal, vol. 482, no. 1, pp. L9–L12, 1997.
  137. E. Hatziminaoglou, A. Siemioinowska, and M. Elvis, “Accretion disk instabilities, cold dark matter models, and their role in quasar evolution,” Astrophysical Journal, vol. 547, no. 1, pp. 90–98, 2001. View at Publisher · View at Google Scholar
  138. A. Semicinowska, B. Czerny, and V. Kostyunin, “Evolution of an accretion disk in an active galactic nucleus,” Astrophysical Journal, vol. 458, no. 2, pp. 491–507, 1996.
  139. A. Franceschini, S. Vercellone, and A. C. Fabian, “Supermassive black holes in early-type galaxies: relationship with radio emission and constraints on the black hole mass function,” Monthly Notices of the Royal Astronomical Society, vol. 297, no. 3, pp. 817–824, 1998.
  140. M. G. Haehnelt and M. J. Rees, “The formation of nuclei in newly formed galaxies and the evolution of the quasar population,” Monthly Notices of the Royal Astronomical Society, vol. 263, no. 1, pp. 168–178, 1993.
  141. T. Hosokawa, “Constraining the lifetime of quasars with the present-day mass function of supermassive black holes,” Astrophysical Journal, vol. 576, no. 1, pp. 75–80, 2002. View at Publisher · View at Google Scholar
  142. A. Cavaliere and V. Vittorini, “Supermassive black holes in galactic nuclei,” Astrophysical Journal, vol. 570, no. 1, pp. 114–118, 2002. View at Publisher · View at Google Scholar
  143. M. Enoki, M. Nagashima, and N. Gouda, “Relations between galaxy formation and the environments of quasars,” Publications of the Astronomical Society of Japan, vol. 55, no. 1, pp. 133–142, 2003.
  144. G. L. Granato, G. De Zotti, L. Silva, A. Bressan, and L. Danese, “A physical model for the coevolution of QSOs and their spheroidal hosts,” Astrophysical Journal, vol. 600, no. 2, pp. 580–594, 2004.
  145. P. F. Hopkins, L. Hernquist, T. J. Cox, and D. Kerbs, “A cosmological framework for the co-evolution of quasars, supermassive black holes, and elliptical galaxies. i. galaxy mergers and quasar activity,” Astrophysical Journal Supplement Series, vol. 175, no. 2, pp. 356–389, 2008. View at Publisher · View at Google Scholar
  146. Y. Shen, “Supermassive black holes in the hierarchical universe: a general framework and observational tests,” Astrophysical Journal Letters, vol. 704, no. 1, pp. 89–108, 2009. View at Publisher · View at Google Scholar
  147. N. Fanidakis, C. M. Baugh, A. J. Benson et al., “Grand unification of AGN activity in the ΛCDM cosmology,” Monthly Notices of the Royal Astronomical Society, vol. 410, no. 1, pp. 53–74, 2011. View at Publisher · View at Google Scholar
  148. N. Fanidakis, Baugh C. M., A. J. Benson, et al., “The evolution of active galactic nuclei across cosmic time: what is downsizing?” Monthly Notices of the Royal Astronomical Society. In press.
  149. F. Hoyle and R. A. Lyttleton, “The effect of interstellar matter on climatic variation,” Mathematical Proceedings of the Cambridge Philosophical Society, vol. 35, no. 3, pp. 405–415, 1939.
  150. H. Bondi and F. Hoyle, “On the mechanism of accretion by stars,” Monthly Notices of the Royal Astronomical Society, vol. 104, p. 273, 1944.
  151. H. Bondi, “On spherically symmetrical accretion,” Monthly Notices of the Royal Astronomical Society, vol. 112, p. 195, 1952.
  152. M. Volonteri and M. C. Begelman, “Quasi-stars and the cosmic evolution of massive black holes,” Monthly Notices of the Royal Astronomical Society, vol. 409, no. 3, pp. 1022–1032, 2010. View at Publisher · View at Google Scholar
  153. L. Jiang, X. Fan, M. Vestergaard et al., “Gemini near-infrared spectroscopy of luminous z ~ 6 quasars: chemical abundances, black hole masses, and Mg II absorption,” Astronomical Journal, vol. 134, no. 3, pp. 1150–1161, 2007. View at Publisher · View at Google Scholar
  154. D. J. Mortlock, S. J. Warren, B. P. Venemans et al., “A luminous quasar at a redshift of z = 7.085,” Nature, vol. 474, no. 7353, pp. 616–619, 2011. View at Publisher · View at Google Scholar · View at PubMed
  155. Z. Haiman and A. Loeb, “What is the highest plausible redshift of luminous quasars?” Astrophysical Journal Letters, vol. 552, no. 2, pp. 459–463, 2001. View at Publisher · View at Google Scholar
  156. G. Lodato and P. Natarajan, “The mass function of high-redshift seed black holes,” Monthly Notices of the Royal Astronomical Society, vol. 377, no. 1, pp. L64–L68, 2007. View at Publisher · View at Google Scholar
  157. G. Lodato and P. Natarajan, “Supermassive black hole formation during the assembly of pre-galactic discs,” Monthly Notices of the Royal Astronomical Society, vol. 371, no. 4, pp. 1813–1823, 2006. View at Publisher · View at Google Scholar
  158. M. C. Begelman, M. Volonteri, and M. J. Rees, “Formation of supermassive black holes by direct collapse in pre-galactic haloes,” Monthly Notices of the Royal Astronomical Society, vol. 370, no. 1, pp. 289–298, 2006. View at Publisher · View at Google Scholar
  159. M. C. Begelman, E. M. Rossi, and P. J. Armitage, “Quasi-stars: accreting black holes inside massive envelopes,” Monthly Notices of the Royal Astronomical Society, vol. 387, no. 4, pp. 1649–1659, 2008.
  160. M. C. Begelman, “Evolution of supermassive stars as a pathway to black hole formation,” Monthly Notices of the Royal Astronomical Society, vol. 402, no. 1, pp. 673–681, 2010. View at Publisher · View at Google Scholar
  161. M. Volonteri, G. Lodato, and P. Natarajan, “The evolution of massive black hole seeds,” Monthly Notices of the Royal Astronomical Society, vol. 383, no. 3, pp. 1079–1088, 2008. View at Publisher · View at Google Scholar
  162. P. Natarajan and M. Volonteri, “The mass function of black holes at 1<z<4.5: comparison of models with observations,” Monthly Notices of the Royal Astronomical Society. In press.
  163. Z. Lippai, Z. Frei, and Z. Haiman, “On the occupation fraction of seed black holes in high-redshift dark matter halos,” Astrophysical Journal Letters, vol. 701, no. 1, pp. 360–368, 2009. View at Publisher · View at Google Scholar
  164. T. Tanaka and Z. Haiman, “The assembly of supermassive black holes at high redshifts,” The Astrophysical Journal, vol. 696, p. 1798, 2009.
  165. E. Berti and M. Volonteri, “Cosmological black hole spin evolution by mergers and accretion,” Astrophysical Journal, vol. 684, no. 2, pp. 822–828, 2008. View at Publisher · View at Google Scholar
  166. K. Horne, B. M. Peterson, S. J. Collier, and H. Netzer, “Observational requirements for high-fidelity reverberation mapping,” Publications of the Astronomical Society of the Pacific, vol. 116, no. 819, pp. 465–476, 2004. View at Publisher · View at Google Scholar
  167. M. C. Bentz, K. Horne, A. J. Barth et al., “The lick agn monitoring project: velocity-delay maps from the maximum-entropy method for Arp 151,” Astrophysical Journal, vol. 720, no. 1, pp. L46–L51, 2010. View at Publisher · View at Google Scholar
  168. A. Pancoast, B. J. Brewer, and T. Treu, “Geometric and dynamical models of reverberation mapping data,” Astrophysical Journal Letters, vol. 730, no. 2, article 139, 2011. View at Publisher · View at Google Scholar
  169. Y. Zu, C. S. Kochanek, and B. M. Peterson, “An alternative approach to measuring reverberation lags in active galactic nuclei,” Astrophysical Journal Letters, vol. 735, no. 2, article 80, 2011. View at Publisher · View at Google Scholar
  170. B. J. Brewer, T. Treu, A. Pancoast et al., “The mass of the black hole in Arp 151 from bayesian modeling of reverberation mapping data,” Astrophysical Journal Letters, vol. 733, no. 2, article L33, 2011. View at Publisher · View at Google Scholar
  171. A. Merloni, S. Heinz, and T. Di Matteo, “A fundamental plane of black hole activity: pushing forward the unification scheme,” Astrophysics and Space Science, vol. 300, no. 1-3, pp. 45–53, 2005. View at Publisher · View at Google Scholar
  172. E. Körding, H. Falcke, and S. Corbel, “Refining the fundamental plane of accreting black holes,” Astronomy and Astrophysics, vol. 456, no. 2, pp. 439–450, 2006. View at Publisher · View at Google Scholar
  173. K. Gültekin, E. M. Cackett, J. M. Miller, T. Di Matteo, S. Markoff, and D. O. Richstone, “The fundamental plane of accretion onto black holes with dynamical masses,” Astrophysical Journal, vol. 706, no. 1, pp. 404–416, 2009. View at Publisher · View at Google Scholar
  174. R. M. Plotkin, S. Markoff, B. C. Kelly, E. Kö rding, and S. F. Anderson, “Using the Fundamental Plane of black hole activity to distinguish X-ray processes from weakly accreting black holes,” Monthly Notices of the Royal Astronomical Society, vol. 419, no. 1, pp. 267–286, 2012. View at Publisher · View at Google Scholar
  175. A. Laor and E. Behar, “On the origin of radio emission in radio-quiet quasars,” Monthly Notices of the Royal Astronomical Society, vol. 390, no. 2, pp. 847–862, 2008. View at Publisher · View at Google Scholar
  176. B. C. Kelly, J. Bechtold, and A. Siemiginowska, “Are the variations in quasar optical flux driven by thermal fluctuations?” Astrophysical Journal, vol. 698, no. 1, pp. 895–910, 2009. View at Publisher · View at Google Scholar
  177. C. L. MacLeod, Z. Ivezić, C. S. Kochanek et al., “Modeling the time variability of SDSS Stripe 82 quasars as a damped random walk,” Astrophysical Journal, vol. 721, no. 2, pp. 1014–1033, 2010. View at Publisher · View at Google Scholar
  178. M. Brusa, F. Fiore, P. Santini et al., “Black hole growth and starburst activity at z = 0.6-4 in the Chandra Deep Field South,” Astronomy and Astrophysics, vol. 507, no. 3, pp. 1277–1289, 2009. View at Publisher · View at Google Scholar
  179. C. N. Cardamone, C. Megan Urry, K. Schawinski, E. Treister, G. Brammer, and E. Gawiser, “Dust-corrected colors reveal bimodality in the host-galaxy colors of active galactic nuclei at z ~ 1,” Astrophysical Journal, vol. 721, no. 1, pp. L38–L42, 2010. View at Publisher · View at Google Scholar
  180. Y. Q. Xue, W. N. Brandt, B. Luo et al., “Color-magnitude relations of active and non-active galaxies in the Chandra Deep fields: high-redshift constraints and stellar-mass selection effects,” Astrophysical Journal, vol. 720, no. 1, pp. 368–391, 2010. View at Publisher · View at Google Scholar
  181. J. Aird, A. L. Coil, J. Moustakas, et al., “PRIMUS: the dependence of AGN accretion on host stellar mass and color,” The Astrophysical Journal. In press.
  182. D. M. Alexander, W. N. Brandt, I. Smail et al., “Weighing the black holes in Z 2 submillimeter-emitting galaxies hosting active galactic nuclei,” Astronomical Journal, vol. 135, no. 5, pp. 1968–1981, 2008. View at Publisher · View at Google Scholar
  183. J. E. Sarria, R. Maiolino, F. La Franca et al., “The MBH-Mstar relation of obscured AGNs at high redshift,” Astronomy and Astrophysics, vol. 522, no. 1, article L3, 2010. View at Publisher · View at Google Scholar
  184. A. Schulze and L. Wisotzki, “Selection effects in the black hole-bulge relation and its evolution,” Astronomy and Astrophysics, vol. 535, article A87, 2011. View at Publisher · View at Google Scholar
  185. M. Volonteri, “Gravitational recoil: signatures on the massive black hole population,” Astrophysical Journal, vol. 663, no. 1, pp. L5–L8, 2007. View at Publisher · View at Google Scholar
  186. L. Blecha and A. Loeb, “Effects of gravitational-wave recoil on the dynamics and growth of supermassive black holes,” Monthly Notices of the Royal Astronomical Society, vol. 390, no. 4, pp. 1311–1325, 2008. View at Publisher · View at Google Scholar
  187. D. Sijacki, V. Springel, and M. G. Haehnelt, “Gravitational recoils of supermassive black holes in hydrodynamical simulations of gas-rich galaxies,” Monthly Notices of the Royal Astronomical Society, vol. 414, no. 4, pp. 3656–3670, 2011. View at Publisher · View at Google Scholar
  188. L. Blecha, T. J. Cox, A. Loeb, and L. Hernquist, “Recoiling black holes in merging galaxies: relationship to active galactic nucleus lifetimes, starbursts and the MBH-σ* relation,” Monthly Notices of the Royal Astronomical Society, vol. 412, no. 4, pp. 2154–2182, 2011. View at Publisher · View at Google Scholar
  189. M. Volonteri, K. Gültekin, and M. Dotti, “Gravitational recoil: effects on massive black hole occupation fraction over cosmic time,” Monthly Notices of the Royal Astronomical Society, vol. 404, no. 4, pp. 2143–2150, 2010. View at Publisher · View at Google Scholar
  190. M. Volonteri, P. Natarajan, and K. Gültekin, “How important is the dark matter halo for black hole growth?” Astrophysical Journal, vol. 737, no. 2, article 50, 2011. View at Publisher · View at Google Scholar
  191. L. Ciotti, J. P. Ostriker, and D. Proga, “Feedback from central black holes in elliptical galaxies. I. Models with either radiative or mechanical feedback but not both,” Astrophysical Journal, vol. 699, no. 1, pp. 89–104, 2009. View at Publisher · View at Google Scholar
  192. M. S. Shin, J. P. Ostriker, and L. Ciotti, “Feedback from central black holes in elliptical galaxies. II. Can purely mechanical energy feedback models work?” Astrophysical Journal, vol. 711, no. 1, pp. 268–283, 2010. View at Publisher · View at Google Scholar
  193. L. Ciotti, J. P. Ostriker, and D. Proga, “Feedback from central black holes in elliptical galaxies. III. Models with both radiative and mechanical feedback,” Astrophysical Journal, vol. 717, no. 2, pp. 708–723, 2010. View at Publisher · View at Google Scholar
  194. R. Kurosawa, D. Proga, and K. Nagamine, “ON the feedback efficiency of active galactic nuclei,” Astrophysical Journal, vol. 707, no. 1, pp. 823–832, 2009. View at Publisher · View at Google Scholar
  195. J. P. Ostriker, E. Choi, L. Ciotti, G. S. Novak, and D. Proga, “Momentum driving: which physical processes dominate active galactic nucleus feedback?” Astrophysical Journal, vol. 722, no. 1, pp. 642–652, 2010. View at Publisher · View at Google Scholar
  196. A. C. Fabian, J. S. Sanders, S. W. Allen et al., “A deep Chandra observation of the Perseus cluster: shocks and ripples,” Monthly Notices of the Royal Astronomical Society, vol. 344, no. 3, pp. L43–L47, 2003. View at Publisher · View at Google Scholar
  197. P. F. Hopkins and E. Quataert, “An analytic model of angular momentum transport by gravitational torques: from galaxies to massive black holes,” Monthly Notices of the Royal Astronomical Society, vol. 415, no. 2, pp. 1027–1050, 2011. View at Publisher · View at Google Scholar
  198. C. Power, S. Nayakshin, and A. King, “The accretion disc particle method for simulations of black hole feeding and feedback,” Monthly Notices of the Royal Astronomical Society, vol. 412, no. 1, pp. 269–276, 2011. View at Publisher · View at Google Scholar