论文标题
DeMarco-faber的脱墨限制定理
On a degenerating limit theorem of DeMarco--Faber
论文作者
论文摘要
我们的目标之一是补充DeMarco-Faber的退化极限定理，用于独特的最大熵家族，该家族通过与在刺穿时在复杂的投影线上变性的复杂投影线上的拟合性磁盘相关的开放式开放式磁盘进行了参数测量。这种补充是由我们的主要结果完成的，这纠正了他们的论点中的关键计算。我们还建立并使用了直接和显式的翻译，从脱成为复杂动力学到量化的伯科维奇动力学，而不是在这些动力学之间使用demarco-faber的更概念上的传输原理。
One of our aims is to complement the proof of DeMarco--Faber's degenerating limit theorem for the family of the unique maximal entropy measures parametrized by a punctured open disk associated to a meromorphic family of rational functions on the complex projective line degenerating at the puncture. This complementation is done by our main result, which rectifies a key computation in their argument. We also establish and use a direct and explicit translation from degenerating complex dynamics into quantized Berkovich dynamics, instead of using DeMarco--Faber's more conceptual transfer principle between those dynamics.
