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arXiv · 1401.4086

Quatre applications du lemme de Zalcman à la dynamique complexe

Tomoki Kawahira
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Abstract

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.

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Tomoki Kawahira. 2014-01-16. Quatre applications du lemme de Zalcman à la dynamique complexe. https://doi.org/10.1007/s11854-014-0034-5

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