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A gap in phase-space, the loss cone (LC), is opened up by a supermassiveblack hole (MBH) as it disrupts or accretes stars in a galactic centre. If astar enters the LC then, depending on its properties, its interaction with theMBH will either generate a luminous electromagnetic flare or give rise togravitational radiation, both of which are expected to have directly observableconsequences. A thorough understanding of loss-cone refilling mechanisms isimportant for the prediction of astrophysical quantities, such as rates oftidal disrupting main-sequence stars, rates of capturing compact stellarremnants and timescales of merging binary MBHs. In this thesis, we use N-bodysimulations to investigate how noise from accreted satellites and othersubstructures in a galaxy's halo can affect the LC refilling rate.  Any N-body model suffers from Poisson noise which is similar to, but muchstronger than, the two-body diffusion occurring in real galaxies. To lessenthis spurious Poisson noise, we apply the idea of importance sampling todevelop a new scheme for constructing N-body realizations of a galaxy model, inwhich interesting regions of phase-space are sampled by many low-massparticles. We use multimass N-body models of galaxies with centrally-embeddedMBHs to study the effects of satellite flybys on LC refilling rates. We findthat although the flux of stars into the initially emptied LC is enhanced, butthe fuelling rate averaged over the entire subhalos is increased by only afactor 3 over the rate one expects from the Poisson noise due the discretenessof the stellar distribution.

Loss cone refilling by flyby encounters--A numerical study of massive black holes in galactic centres