Title of article :
Almost specification and renewality in spacing shifts
Author/Authors :
Ahmadi Dastjerdi ، D. - University of Guilan , Dabbaghian Amiri ، M. - University of Guilan
Abstract :
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 } |ij|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}.
Keywords :
Spacing shifts , almost specification , renewal , uniquely decipherable
Journal title :
Bulletin of the Iranian Mathematical Society
Journal title :
Bulletin of the Iranian Mathematical Society