On the Hausdorff Dimension of the quadratic Julia sets near to the parabolic points

Orateur:
Ludwik Jaksztas
Localisation: Université de Varsovie, Pologne
Type: Séminaire COOL
Site: Hors LAMA , IHP
Salle:
314
Date de début:
16/05/2014 - 10:30
Date de fin:
16/05/2014 - 10:30

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).