Dyadic transformation

A dyadic transformation is a mapping $d:\; \backslash R\; \backslash to\; \backslash R^\backslash infty,$ produced by the rule $x\_0\; \backslash in\; [0,\; 1]$ and $x\_\{i+1\}\; =\; 2x\_i\; \backslash mod\; 2$ for all i. If $x\_0$ is rational, the image will be a finite subset of $[0,\; 1]$ (for odd denominators a finite cyclic group), for irrational ones a ?dense subset?. Dynamical systems

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Dyadic_transformation

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