At the moment star formation is still happening all over the universe, but at a decreasing rate. There are estimates that star formation peaked around 10 billion years ago, but with the ‘death’ rate of these stars being about zero right now this means that at the moment there still is still a net increase of stars overall. We should reach a maximum at some point in the future though and there are a whole bunch of assumptions needed in modelling this (which I am not too familiar with).
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