1. Bédaride, N., Cassaigne, J.: Outer billiard outside regular polygons. J. Lond. Math. Soc. (2) 84(2), 303–324 (2011)
2. Bédaride, N., Kaboré, I.: Symbolic dynamics of a piecewise rotation: symmetric case. Arxiv preprint (2015)
3. Boshernitzan, M., Goetz, A.: A dichotomy for a two-parameter piecewise rotation. Ergod. Theory Dyn. Syst. 23(3), 759–770 (2003)
4. Fogg, N.P.: Substitutions in dynamics, arithmetics and combinatorics. In: Berthé, V., Ferenczi, S., Mauduit, C., Siegel, A. (eds.) Volume 1794 of Lecture Notes in Mathematics. Springer, Berlin (2002)
5. Goetz, A., Quas, A.: Global properties of a family of piecewise isometries. Ergod. Theory Dyn. Syst. 29(2), 545–568 (2009)