Symbolic dynamics of a piecewise rotation: case of the non symmetric bijective maps

Abstract

We consider a specific piecewise rotation of the plane that is continuous on two half-planes, as studied by some authors like Boshernitzan, Goetz and Quas. If the angle belongs to the set $\{\frac{\pi }{2},\frac{2\pi }{3},\frac{\pi }{4}\}$, we give a complete description of the symbolic dynamics of this map in the non symmetric bijective case.

References in corpus (1)

• Outer billiard outside regular polygons