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|Title:||Pattern generation problems arising in multiplicative integer systems|
|Issue Date:||2020-05-27 09:01:47 (UTC+8)|
|Abstract:||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.|
|Relation:||Ergodic Theory & Dynamical Systems, Vol.39, No.5, pp.1234-1260|
|Appears in Collections:||[Department of Mathematical Sciences] Periodical Articles|
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