论文标题
伯格曼措施向张措施的收敛
Convergence of Bergman measures towards the Zhang measure
论文作者
论文摘要
我们证明了一个民间传说的猜想，即伯格曼沿着由刺穿的单元磁盘收敛到相关的伯科维奇空间上的张测量的曲线的全态家族。融合发生在伯科维奇混合动力空间上。我们还研究了Amini和Baker意义上的Metrized Curve复合物上伯格曼度量对量度的收敛性。
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.
