Arek Goetz (San Francisco State University)

Examples of rational piecewise rotations with unbounded return times.

Abstract. In a joint work with Gauillaume Poppaggalla we show that there are examples of rational piecewise rotations with three atoms whose return times to one of the atoms, though, by Poincare result, almost everywhere finite, are not uniformly bounded. The examples are based on the angle of rotation $\pi/7$. The talk will be accessible to non experts in the area and it will be augmented by a short computer presentation.