Exoplanet Detection and Its Dependence on Stochastic Sampling of the Stellar Initial Mass Function

Young Moving Groups (YMGs) are close (<100pc), coherent collections of young(<100Myr) stars that appear to have formed in the same star-forming molecularcloud. As such we would expect their individual initial mass functions (IMFs)to be similar to other star-forming regions, and by extension the Galacticfield. Their close proximity to the Sun and their young ages means that YMGsare promising locations to search for young forming exoplanets. However, due totheir low numbers of stars, stochastic sampling of the IMF means their stellarpopulations could vary significantly. We determine the range of planet-hostingstars (spectral types A, G and M) possible from sampling the IMF multipletimes, and find that some YMGs appear deficient in M-dwarfs. We then use thesedata to show that the expected probability of detecting terrestrial magma oceanplanets is highly dependent on the exact numbers of stars produced throughstochastic sampling of the IMF.