与二次映射相关的嵌铺与 Lyubich-Minsky 叶状结构，I：捏半共轭
Tessellation and Lyubich-Minsky laminations associated with quadratic maps, I: Pinching semiconjugacies
AI总结：
本文引入双曲和抛物二次映射填充 Julia 集的嵌铺，利用瓦片组织内部动力学，并基于嵌铺与线性化坐标退化研究构造了双曲到抛物退化的捏半共轭连续族。
摘要：
我们引入双曲和抛物二次映射的填充 Julia 集的嵌铺。然后 Julia 集内部的动力学由瓦片组织，其作用类似于外部的外部射线。我们还构造了与双曲到抛物退化相关的捏半共轭的连续族，无需使用拟共形形变。相反，我们使用嵌铺以及对 Julia 集内部线性化坐标的双曲到抛物退化的研究。
英文摘要：
We introduce tessellation of the filled Julia sets for hyperbolic and parabolic quadratic maps. Then the dynamics inside their Julia sets are organized by tiles which work like external rays outside. We also construct continuous families of pinching semiconjugacies associated with hyperblic-to-parabolic degenerations without using quasiconformal deformation. Instead we use tessellation and investigation on the hyperbolic-to-parabolic degeneration of linearizing coordinates inside the Julia sets.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
