호남수학학술지 (Honam Mathematical Journal)

  • 제29권3호
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  • Pages.341-350
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  • 2007
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  • 1225-293X(pISSN)
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  • 2288-6176(eISSN)
호남수학회 (The Honam Mathematical Society)
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A NOTE ON FLIP SYSTEMS

  • 투고 : 2007.05.15
  • 심사 : 2007.08.25
  • 발행 : 2007.09.25
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초록

A dynamical system with a skew-commuting involution map is called a flip system. Every flip system on a subshift of finite type is represented by a pair of matrices, one of which is a permutation matrix. The transposition number of this permutation matrix is studied. We define an invariant, called the flip number, that measures the complexity of a flip system, and prove some results on it. More properties of flips on subshifts of finite type with symmetric adjacency matrices are investigated.

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참고문헌

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