Repetitions in beta-integers

Details Repetitions in beta-integers Repetitions in beta-integers

2008-12-21

arxiv.org/abs/0812.4006v1

Letters in Mathematical Physics 87 (2009), 181-195

Mathematics

Combinatorics

11 pages

Scientific paper

10.1007/s11005-009-0301-z

Classical crystals are solid materials containing arbitrarily long periodic repetitions of a single motif. In this paper, we study the maximal possible repetition of the same motif occurring in beta-integers -- one dimensional models of quasicrystals. We are interested in beta-integers realizing only a finite number of distinct distances between neighboring elements. In such a case, the problem may be reformulated in terms of combinatorics on words as a study of the index of infinite words coding beta-integers. We will solve a particular case for beta being a quadratic non-simple Parry number.

Affiliated with

Also associated with

No associations

Rating

Repetitions in beta-integers does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Repetitions in beta-integers, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Repetitions in beta-integers will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-537477