The microscopic world of piecewise isometries

Abstract: In this talk we invite the audience to witness how a rigid exchange of two or more regions leads to strikingly complicated and beautiful dynamics in the plane. A rich landscape of phenomena is due to the presence of discontinuities that propagate forming patterns that appear to be self similar. We present examples for which the local dynamics is not well understood as well as major open questions in this field some of which may be of interest to students in primarily undergraduate institutions.

Examples of such maps are dual billiards and invertible rotations of two half-planes.

The presentation will be accessible to an audience without familiarity with advanced dynamical tools.

dynamical systems

Audience: researchers in the topic

Little school dynamics

Series comments: Email dynamics@aimath.org to ask for the Zoom link.