We generalize a well-known theorem of Tian by proving the convergence of the Fubini-Study metrics induced by Toeplitz-Kodaira maps. These maps are constructed using the action of a Toeplitz operator on the space of holomorphic sections of the powers of a positive line bundle. We also present applications to the distribution of zeros of random holomorphic sections. These results were obtained in a joint work with Alexander Drewitz and Bingxiao Liu.

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