We extend Thurston’s topological characterisation theorem for postcritically finite rational maps to a class of rational maps which have a fixed bounded type Siegel disk. This makes a small step towards generalizing Thurston’s theorem to geometrically infinite rational maps.

中文翻译：

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用 Siegel 圆盘对有理映射进行拓扑表征

我们将 Thurston 的后临界有限有理映射的拓扑表征定理扩展到一类具有固定有界类型 Siegel 盘的有理映射。这朝着将瑟斯顿定理推广到几何无限有理映射迈出了一小步。