GT ADG-Systèmes Dynamiques
On the Hausdorff Dimension of the quadratic Julia sets near to the parabolic points.Ludwik Jaksztas
Tuesday 13 May 2014 14:00 - Orléans - Salle de Séminaire
Résumé :
Let d(c) denote the Hausdorff dimension of the Julia set of the polynomial z^2+c. I will discuss the behaviour (derivative) of the function d(c) where the real parameter c is close to the parabolic points, especially 1/4 (parabolic point with one petal) and -3/4 (point with two petals).
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