Purely periodic beta-expansions with Pisot unit base
Purely periodic beta-expansions with Pisot unit base
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DOI：
10.1090/s0002-9939-04-07794-9
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发表时间：
2004-11
期刊：
影响因子：
--
通讯作者：
Shunji Ito;H. Rao
中科院分区：
文献类型：
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作者：
Shunji Ito;H. Rao
Let β > 1 be a Pisot unit. A family of sets {X i } 1≤i≤q defined by a β-numeration system has been extensively studied as an atomic surface or Rauzy fractal. For the purpose of constructing a Markov partition, a domain X = U q i =1 X i constructed by an atomic surface has appeared in several papers. In this paper we show that the domain X completely characterizes the set of purely periodic β-expansions.
