Entropy of Bergman measures of a toric Kaehler manifold

20 Oct 2020  ·  Flurin Pierre, Zelditch Steve ·

Associated to the Bergman kernels of a polarized toric Kaehler manifold $(M, \omega, L, h)$ are sequences of measures $\{\mu_k^z\}_{k=1}^{\infty}$ parametrized by the points $z \in M$. We determine the asymptotics of the entropies $H(\mu_k^z)$ of these measures... The sequence $\mu_k^z$ in some ways resembles a sequence of convolution powers; we determine precisely when it actually is such a sequence. read more

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Complex Variables Probability