Sturmian words, β-shifts, and transcendence

نویسندگان

  • Dong Pyo Chi
  • DoYong Kwon
چکیده

Consider the minimal β-shift containing the shift space generated by a given Sturmian word. In this paper we characterize such β and investigate their combinatorial, dynamical and measure-theoretical properties and prove that such β are transcendental numbers.

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تاریخ انتشار 2004