Geometry, Topology and Dynamics Seminar
Mark Bell
UIUC
Iterating mapping classes
Abstract: A classical property of a pseudo-Anosov mapping class is that if you
repeatedly apply it to a curve then this sequence of images converges
exponentially quickly towards its stable lamination. This comes from
the fact that such a mapping class acts on the space of projective
measured laminations with north-south dynamics. We will discuss the
rate of convergence of this dynamical system and give a new construction
of pseudo-Anosovs where their convergence is exponential but arbitrarily
slow, that is, with base arbitrarily close to one. This work is joint
with Saul Schleimer.
Monday April 25, 2016 at 3:00 PM in SEO 636