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arXiv 1401.4086math.DSmath.CV
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Zalcman方程在动力学中的四种应用

Quatre applications du lemme de Zalcman à la dynamique complexe

Tomoki Kawahira

摘要:

本文给出了Zalcman引理在黎曼球面上有理映射动力学中的四个应用:朱利亚集中排斥圈密度证明的参数模拟; Mandelbrot集和朱利亚集之间的相似性; Lyubich-Minsky层积及其变体的构造;以及Lyubich-Minsky和Martin-Mayer对锥点的统一刻画。

英文摘要:

We give four applications of Zalcman's lemma to the dynamics of rational maps on the Riemann sphere: a parameter analogue of a proof of the density of repelling cycles in the Julia sets;similarity between the Mandelbrot set and the Julia sets; a construction of the Lyubich-Minsky lamination and its variant; and a unified characterization of conical points by Lyubich-Minsky and those by Martin-Mayer.

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。

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