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Extreme mass ratio inspiral (EMRI) events are vulnerable to perturbations bythe stellar background, which can abort them prematurely by deflecting EMRIorbits to plunging ones that fall directly into the massive black hole (MBH),or to less eccentric ones that no longer interact strongly with the MBH. Acoincidental hierarchy between the collective resonant Newtonian torques due tothe stellar background, and the relative magnitudes of the leading-orderpost-Newtonian precessional and radiative terms of the general relativistic2-body problem, allows EMRIs to decouple from the background and producesemi-periodic gravitational wave signals. I review the recent theoreticaldevelopments that confirm this conjectured fortunate coincidence, and brieflydiscuss the implications for EMRI rates, and show how these dynamical effectscan be probed locally by stars near the Galactic MBH.

EMRIs and the relativistic loss-cone: The curious case of the fortunate coincidence