Session spéciale de l'ANR Lambda



Abstracts

• Michel Zinsmeister : Variation de la dimension des ensembles de Julia quadratiques réels (Travail en commun avec Ludwik Jaksztas (Varsovie).
  Abstract: Nous étudions la dérivabilité de la fonction c->d(c) (dimension de l'ensemble de Julia de z^2+c) aux points c réels pour lesquels z^2+c admet un cycle parabolique entre le point de Feigenbaum et 1/4.


• Charles Favre : Blow-up of Lyapunov exponents.
  Abstract:We shall discuss techniques to control the blow-up of Lyapunov exponents in degenerating meromorphic families of holomorphic dynamical systems.

• Hiroyuki Inou :


• Wolf Jung : Title: Slow mating and equipotential gluing (joint work with Arnaud Chéritat)
  Abstract: Equipotential gluing is an alternative construction of mating, due to Jack Milnor. It gives a holomorphic motion of polynomial Julia sets, which is illustrated by movies of slow mating. In the postcritically finite situation, it is known to be equivalent to the Thurston Algorithm for the formal mating. Here it is shown that those Julia sets converge to the Julia set of the geometric mating. Moreover, at least in the hyperbolic case, the holomorphic motion is a pseudo-isotopy to the semi-conjugation, so the geometric mating is a conformal mating in the strongest sense.


• Araceli Bonifant : ``Self-antipodal orbits in a family of antipode preserving maps'':
In this talk I will descibe one particular family, concentrating on those hyperbolic components which have self-antipodal attracting orbits. Every hyperbolic component in this family has a canonical conformal structure. Joint with X. Buff and J. Milnor.

informations : ihp and the hotels around



Contact :

pascale.roesch add arobas here math.univ-toulouse.fr