Resumen
As two galaxies collide the super-massive black holes in their centers will merge. The resulting black hole will be ejected with a certain kick velocity. The black hole will move in the galaxy's potential well while it oscillates and returns to its initial position due to dynamic friction processes. In this work we use semi-analytic techniques to follow the amount of mass accreted by the BH since the initial kick until its return to a stationary position at the center of the host galaxy. We focus our study on black holes in the mass range 10^{6}-10^{9} Msun. We use these results to re-interpret the observational constraints on the growth of super-massive black holes during the first gigayear of cosmic history.
