arXiv:math/0106217 Abstract

arXiv:math/0106217 [math.CO]Abstract References Reviews Resources

Coding rotations on intervals

Published 2001-06-26Version 1

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.

Comments: LIAFA report

Categories: math.CO, math.DS

Subjects: 68R15

Keywords: coding rotations, sturmian word, th letter, rationally independent lengths, universal automaton

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