標題: Pattern generation problems arising in multiplicative integer systems
作者: Ban, Jung-Chao
Hu, Wen-Guei
Lin, Song-Sun
應用數學系
Department of Applied Mathematics
公開日期: 1-May-2019
摘要: This study investigates a multiplicative integer system, an invariant subset of the full shift under the action of the semigroup of multiplicative integers, by using a method that was developed for studying pattern generation problems. The spatial entropy and the Minkowski dimensions of general multiplicative systems can thus be computed. A coupled system is the intersection of a multiplicative integer system and the golden mean shift, which can be decoupled by removing the multiplicative relation set and then performing procedures similar to those applied to a decoupled system. The spatial entropy can be obtained after the remaining error term is shown to approach zero.
URI: http://dx.doi.org/10.1017/etds.2017.74
http://hdl.handle.net/11536/151637
ISSN: 0143-3857
DOI: 10.1017/etds.2017.74
期刊: ERGODIC THEORY AND DYNAMICAL SYSTEMS
Volume: 39
起始頁: 1234
結束頁: 1260
Appears in Collections:Articles