Abstract

The study of piecewise isometries is a relatively new area of Dynamical Systems that recently gains more and more popularity due to its numerous applications and connections to real-life problems. I will present some new results about a dynamical system which consists of three translations acting on a division of a plane into three so-called Voronoy regions of an acute triangle. The invariant set of the map is studied.

This is a joint work with Roy Adler, Tomasz Nowicki and Charles Tresser.