Quatre applications du lemme de Zalcman \`a la dynamique complexe
Dynamical Systems
2019-08-01 v1 Complex Variables
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.
Keywords
Cite
@article{arxiv.1401.4086,
title = {Quatre applications du lemme de Zalcman \`a la dynamique complexe},
author = {Tomoki Kawahira},
journal= {arXiv preprint arXiv:1401.4086},
year = {2019}
}
Comments
26 pages, 2 figures, to appear in J. Anal. Math