Almost specification ‎and ‎renewality‎ in spacing shifts

نویسندگان

  • D. Ahmadi Dastjerdi Department of Pure Mathematics‎, ‎Faculty of Mathematical Sciences‎, ‎University of Guilan‎, ‎Iran.
  • M. Dabbaghian Amiri Department of Pure Mathematics‎, ‎Faculty of Mathematical Sciences‎, ‎University of Guilan‎, ‎Iran.
چکیده مقاله:

‎Let $(Sigma_P,sigma_P)$ be the space of a spacing shifts where $Psubset mathbb{N}_0=mathbb{N}cup{0}$ and $Sigma_P={sin{0,1}^{mathbb{N}_0}: ‎s_i=s_j=1 mbox{ if } |i-j|in P cup{0}}$ and $sigma_P$ the shift map‎. ‎We will show that $Sigma_P$ is mixing if and only if it has almost specification property with at least two periodic points‎. ‎Moreover‎, ‎we show that if $h(sigma_P)=0$‎, ‎then $Sigma_P$ is almost specified and if $h(sigma_P)>0$ and $Sigma_P$ is almost specified‎, ‎then it is weak mixing‎. ‎Also‎, ‎some sufficient conditions for a coded $Sigma_P$ being renewal or uniquely decipherable is given‎. ‎At last we will show that here are only two conjugacies from a transitive $Sigma_P$ to a subshift of ${0,1}^{mathbb{N}_0}$‎.

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عنوان ژورنال

دوره 43  شماره 3

صفحات  885- 896

تاریخ انتشار 2017-06-30

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