On compact sets generated by iterated function systems (IFS)

Mardi 11 avril 2017 14:00-15:00 - Emma D'Aniello - Università degli Studi della Campania "Luigi Vanvitelli"

Résumé : Let (X, d) be a compact metric space. We investigate compact subsets of X which are attractors of iterated function systems on X.
We study the structure (geometry, Hausdorff dimension, etc.) of the attractors according to the properties of the functions in the generating systems.
We investigate, in particular, the case when X is the unit cube of \mathbb{R}^n, with n \geq 1.

Lieu : Salle 113-115 (Bâtiment 425)

On compact sets generated by iterated function systems (IFS)  Version PDF