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 |
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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 | |
Publication status | Published - 1994 |
Externally published | Yes |
All Science Journal Classification (ASJC) codes
- Statistical and Nonlinear Physics
- Mathematical Physics
- Physics and Astronomy(all)