Periodic musical sequences and Lyndon words
β Scribed by M. Chemillier
- Publisher
- Springer
- Year
- 2004
- Tongue
- English
- Weight
- 300 KB
- Volume
- 8
- Category
- Article
- ISSN
- 1432-7643
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
We give an elementary short proof for a well known theorem of Guibas and Odlyzko stating that the sets of periods of words are independent of the alphabet size. As a consequence of our constructive proof, we obtain a linear time algorithm which, given a word, computes a binary one with the same peri
Let a be an irrational number with 0 < a < 1. Using the continued fraction expansion of a, the class of a-words is introduced. It contains certain sequences of words that are known to relate to the characteristic sequence f(a) of a. When a = (v'~-1)/2, a-words are precisely the Fibonacci words. In t