Tel-Aviv University
School of Mathematical Sciences

Department Colloquium

Monday, April 12, 2010

Schreiber 006, 13:00

Dmitry Turaev

Ben-Gurion University

On maps close to identity

Abstract: We show that arbitrarily small smooth perturbations of the identity map of a ball can lead to arbitrarily complicated dynamics. Namely, we call a map of an n-dimensional ball universal if its iterations provide arbitrarily good approximations to all possible maps of the ball, and show that the universal maps exist arbitrarily close to the identity.

Coffee will be served before the lecture
at Schreiber building 006