DIRECT RENORMALIZATIONS OF THE ONE-DIMENSIONAL TORUS


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Abstract

Renormalization formulas connecting the points of the orbits O0±, i.e., the sequences generated by an irrational shift on the half-open interval [0, 1) or (0, 1], and the points of the orbits' derivatives dmO0±, i.e., the sequences obtained by restricting O0± to half-open intervals of smaller length, are obtained. Bibliography: 5 titles.

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