School of Mathematical Sciences

Department Colloquium

Schreiber 006, 13:00

Ben-Gurion University

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