Categories: Dynamical systems
A dyadic transformation is a mapping produced by the rule and for all i.
If x0 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?.
produced by the rule ![x_0 \in [0, 1]](a/../upload/math/b0118d4fff14e5a2cc0b746b6081dca1.png)
and 
for all i.