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