Self-similarity of binary quasiperiodic sequences

T. Odagaki; M. Kaneko

doi:10.1088/0305-4470/27/5/030

Self-similarity of binary quasiperiodic sequences

T. Odagaki, M. Kaneko

Research output: Contribution to journal › Article › peer-review

11 Citations (Scopus)

Abstract

Self-similarity in binary quasiperiodic sequences generated by a projection method is shown to exist when and only when it is associated with quadratic irrational numbers and the explicit self-similarity transformation for an arbitrary quadratic number is obtained. The self-similarity transformation is shown not to be reducible to the simplest form for a class of quadratic numbers.

Original language	English
Article number	030
Pages (from-to)	1683-1690
Number of pages	8
Journal	Journal of Physics A: Mathematical and General
Volume	27
Issue number	5
DOIs	https://doi.org/10.1088/0305-4470/27/5/030
Publication status	Published - 1994
Externally published	Yes

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics
Physics and Astronomy(all)

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10.1088/0305-4470/27/5/030

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abstract = "Self-similarity in binary quasiperiodic sequences generated by a projection method is shown to exist when and only when it is associated with quadratic irrational numbers and the explicit self-similarity transformation for an arbitrary quadratic number is obtained. The self-similarity transformation is shown not to be reducible to the simplest form for a class of quadratic numbers.",

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AB - Self-similarity in binary quasiperiodic sequences generated by a projection method is shown to exist when and only when it is associated with quadratic irrational numbers and the explicit self-similarity transformation for an arbitrary quadratic number is obtained. The self-similarity transformation is shown not to be reducible to the simplest form for a class of quadratic numbers.

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Self-similarity of binary quasiperiodic sequences

Abstract

All Science Journal Classification (ASJC) codes

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