Abstract. The capital distribution curve refers to the log-log plot of the market weights arranged in descending order versus their respective ranks. Despite the incessant change of market parameters, the capital distribution curve has shown a remarkable stability for the US equity market for the last eight decades. Investigations into this phenomenon have so far focussed on models which incorporate collision local times. I will present two alternative models – one based on the Wasserstein diffusion, and the other on random matrices – which not only capture the stability of capital distribution curves, but can also be adjusted to encompass other aspects of equity markets. This is joint work with Josef Teichmann.