Problem 142Can the adding machine be an invariant set for a $C^2$ mapping of the 2-disk? of the $n$-disk?SmoothDynCommentscrovisier (2017-06-27 12:48:18 -0700 -0700):See J.M. Gambaudo and C. Tresser, Self-similar constructions in smooth dynamics: rigidity, smoothness and dimension. Comm. Math. Phys. 150 (1992), 45–58.
Comments
See J.M. Gambaudo and C. Tresser, Self-similar constructions in smooth dynamics: rigidity, smoothness and dimension. Comm. Math. Phys. 150 (1992), 45–58.