Kolakoski-$(3,1)$ Is a (Deformed) Model Set

Canadian mathematical bulletin

关键词: Nevanlinna theory;    meromorphic function;    shared value;   

DOI  :  10.4153/CMB-2004-018-6

学科分类：数学（综合）

来源: University of Toronto Press * Journals Division

【 摘 要 】

Unlike the (classical) Kolakoski sequence on the alphabet ${1,2}$, its analogueon ${1,3}$ can be related to a primitive substitution rule. Using this connection,we prove that the corresponding bi-infinite fixed point is a regular generic model setand thus has a pure point diffraction spectrum. The Kolakoski-$(3,1)$ sequence isthen obtained as a deformation, without losing the pure point diffraction property.

【 授权许可】

Unknown