Dynamical Systems Seminar

Dynamics of piecewise affine contractions

by Prof. José Pedro Romana Gaivão (ISEG, University of Lisbon)

Europe/Rome
SNS – Centro De Giorgi – Aula Seminari.

SNS – Centro De Giorgi – Aula Seminari.

Description

The attractor of any piecewise affine contraction is either a finite set or a Cantor set. It is known that the former case occurs generically, both in metric and topological sense. In this talk we present recent results regarding the Hausdorff dimension of the exceptional set of piecewise affine contractions. This is a joint work with Arnaldo Nogueira.

Organised by

Gianluigi Del Magno