Coding rotations on intervals

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We show that the coding of rotation by $α$ on $m$ intervals with rationally independent lengths can be recoded over $m$ Sturmian words of angle $α.$ 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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Combinatorics, Dynamical Systems, 68R15

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http://salesiana.dossiersoluciones.com/handle/123456789/61730

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0106217
 http://arxiv.org/abs/math/0106217

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arXiv