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Mathematics > Complex Variables
Title: Stochastic Kähler geometry: from random zeros to random metrics
(Submitted on 21 Mar 2023)
Abstract: We provide a survey of results on the statistics of random sections of holomorphic line bundles on K\"ahler 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' K\"ahler metrics induced by these random sections.
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