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Stochastic Kähler geometry: from random zeros to random metrics
Bernard Shiffman, Steve Zelditch · 2023-03-21 · via math.PR updates on arXiv.org

We provide a survey of results on the statistics of random sections of holomorphic line bundles on Kähler manifolds, with an emphasis on the resulting asymptotics when a line bundle is raised to increasing tensor powers. We conclude with a brief discussion of the `Bergman' Kähler metrics induced by these random sections.

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