dyadic transformation

For whole numbers t and initial value x0 in [0,1], consider the mapping: xt+1 = (2xt) mod 1 'This law of motion is a standard example of chaotic dynamics. It is commonly known as the dyadic transformation. It is mixing (and hence also ergodic).' -- Domowitz and Muus, 199...
Found on http://www.econterms.com/glossary.cgi?query=dyadic+transformation

Dyadic transformation

The name bit shift map arises because, if the value of an iterate is written in binary notation, the next iterate is obtained by shifting the binary point one bit to the right, and if the bit to the left of the new binary point is a `one`, replacing it with a zero. The dyadic transformation provides an example of how a simple 1-dimensional map c.....
Found on http://en.wikipedia.org/wiki/Dyadic_transformation
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