𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Unbordered factors of the characteristic sequences of irrational numbers

✍ Scribed by Wai-fong Chuan


Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
439 KB
Volume
205
Category
Article
ISSN
0304-3975

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Ξ±-Words and factors of characteristic se
✍ Wai-Fong Chuan πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 731 KB

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

A representation theorem of the suffixes
✍ Chuan Wai-Fong πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 574 KB

Let CL be an irrational number between 0 and 1 with continued fraction [0, al + 1,~. .]. The characteristic sequence of x is by definition an infinite word f over the alphabet (0. 1 }, whose nth letter is [(n + 1)cx -ncr], n > 1. A.A. Markov has proved that f has a representation ~'=uIu~..., where