Dynamics of piecewise affine contractions

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

Friday 28 Oct 2022, 15:00 → 16:00 Europe/Rome

SNS – Centro De Giorgi – Aula Seminari.

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.