Bergman测度向张测度的收敛性
Convergence of Bergman measures towards the Zhang measure
摘要：
我们证明了一个民间传说的猜想，沿全纯曲线族的Bergman措施参数的穿孔单位盘收敛到张措施在相关的Berkovich空间。收敛发生在一个Berkovich混合空间。我们还研究了Bergman测度在Amini和Baker意义下收敛到度量化曲线复形上的测度。
英文摘要：
We prove a folklore conjecture that the Bergman measure along a holomorphic family of curves parametrized by the punctured unit disk converges to the Zhang measure on the associated Berkovich space. The convergence takes place on a Berkovich hybrid space. We also study the convergence of the Bergman measure to a measure on a metrized curve complex in the sense of Amini and Baker.
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