AI 中文总结
本文针对次数 $d\geq2$ 且至少含4个后临界点的抽象双临界动力肖像，研究其可仅由有理Thurston映射实现的分类问题。
AI 中文摘要
有理映射 $f:\widehat{\mathbb C}\to \widehat{\mathbb C}$ 的动力学由其临界点的正向轨道决定。若每个临界点都有有限正向轨道，等价于每个临界点最终映射到周期循环，则该映射称为后临界有限的。这些轨道可编码为称为动力肖像的有限有向图。本研究对次数 $d\geq2$ 且至少含4个后临界点的抽象双临界动力肖像进行分类，判断哪些可仅由有理Thurston映射实现。
英文摘要
The dynamic of a rational map $f:\widehat{\mathbb C}\to \widehat{\mathbb C}$ is determined by the forward orbits of its critical points. Such a map is called {\em postcritically finite} if every critical point has finite forward orbit, or equivalently, if every critical point eventually maps into a periodic cycle. These orbits can be encoded in a finite directed graph called a {\em dynamic portrait}. In this work, we classify which abstract bicritical dynamic portraits of degree $d\geq2$ with at least 4 postcritical points are realizable exclusively by rational Thurston maps.
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