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On the distribution of certain Pisot numbers

✍ Scribed by Zaïmi, Toufik


Book ID
118459648
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
188 KB
Volume
23
Category
Article
ISSN
0019-3577

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A certain finiteness property of Pisot n
✍ Shigeki Akiyama; Hui Rao; Wolfgang Steiner 📂 Article 📅 2004 🏛 Elsevier Science 🌐 English ⚖ 331 KB

In the study of substitutative dynamical systems and Pisot number systems, an algebraic condition, which we call 'weak finiteness', plays a fundamental role. It is expected that all Pisot numbers would have this property. In this paper, we prove some basic facts about 'weak finiteness'. We show that