Sur la vitesse d'explosion des points fixes paraboliques dans la famille quadratique

Abstract

We define the asymptotic size of a parabolic fixed point, and link it to the speed of explosion into a cycle in some cases. For the fixed points of the quadratic family, we give a relation to the inner conformal radius of Siegel disks. Applications will be given in a further note. To cite this article: A. Chéritat, C. R. Acad. Sci. Paris, Ser. I 334 (2002) 1107–1112.