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

Quatre applications du lemme de Zalcman \`a la dynamique complexe