Coding rotations on intervals

Details Coding rotations on intervals Coding rotations on intervals

2001-06-26

arxiv.org/abs/math/0106217v1

Mathematics

Combinatorics

LIAFA report

Scientific paper

We show that the coding of rotation by $\alpha$ on $m$ intervals with rationally independent lengths can be recoded over $m$ Sturmian words of angle $\alpha.$ More precisely, for a given $m$ an universal automaton is constructed such that the edge indexed by the vector of values of the $i$th letter on each Sturmian word gives the value of the $i$th letter of the coding of rotation.

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