In the two-symbol shift representation, $\boxed{\ldots000.000\ldots}$ is fixed under a shift and codes the <fixed point> labelled $0$. The constant all-ones sequence supplies the analogous example. The dot only marks the present position; shifting it advances one iterate. The assertion uses the faithful orbit coding assumed in the question.

Solution

Past exam of the topics in applied mathematics course of the University of Oxford / 2010 / B / 5 / iii / a / Solution

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