We study the points with periodic codings of a class of graph-directed iterated function systems on with algebraic parameters （which we call algebraic GIFS）. It is shown that the set of points with periodic codings ...We study the points with periodic codings of a class of graph-directed iterated function systems on with algebraic parameters （which we call algebraic GIFS）. It is shown that the set of points with periodic codings is closely related to the Rauzy box. Especially for the feasible Pisot GIFS, this set is completely characterized by the Rauzy box; this result unifies and extends the previous results on the study of periodic points of classical and generalized β-transformations.展开更多
基金supported by National Natural Science Foundation of China(Grant Nos.11171128,11271223 and 11101169)
文摘We study the points with periodic codings of a class of graph-directed iterated function systems on with algebraic parameters （which we call algebraic GIFS）. It is shown that the set of points with periodic codings is closely related to the Rauzy box. Especially for the feasible Pisot GIFS, this set is completely characterized by the Rauzy box; this result unifies and extends the previous results on the study of periodic points of classical and generalized β-transformations.
