Séminaire des doctorants
Central Limit Theorem for Intersection Currents of Random Holomorphic Sections
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Europe/Paris
318
318
Description
In 2010, Shiffman and Zelditch established a fundamental result in random Kähler geometry: the statistics of random zero sets of a single Gaussian holomorphic section obey a Central Limit Theorem (CLT). We generalize this result by proving the CLT for commen zero sets of k independent Gaussian holomorphic sections on compact Kähler manifolds.