Over the next 15 years the nascent field of gravitational-wave astronomy will open a new observational window on black hole mergers at cos-mological distances. Here we review recent work by the gravitational-wave com-munity modelling how well future data will measure the distribution in mass and redshift of black hole mergers, and highlighting the potential impact of these ob-servations for improving constraints on galaxy formation models, and the origin of the first black hole seeds.
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