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In the next decade, the Laser Interferometer Space Antenna (LISA) will detect the coalescence of massive black hole binaries (MBHBs) in the range $[10^4, 10^8] \, \rm M_{\odot}$, up to $z\sim10$.
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The radiation from young stars in the bulge is expected to bring the gas in a low-angular momentum disk surrounding the MBHB Haiman et al. 2004 so, for our purposes, the accretion of the reservoir mass follow the star formation rate in the bulge
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