On synchronized non-sofic subshifts

D. Ahmadi Dastjerdi; S. Jangjooye Shaldehi

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arXiv · 1303.6570

On synchronized non-sofic subshifts

D. Ahmadi Dastjerdi·S. Jangjooye Shaldehi

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Abstract

We show that a synchronized coded system $X$ is intrinsically ergodic of full support if and only if $ h(Y)$, the topological entropy of $Y$, is less than $h(X) $ whenever $Y$ is a proper subsystem of $ X $. We also show that like systems with specification property, SVGL's the non-mixing extension of systems with specification property, are intrinsically ergodic of full support. Moreover, we compute the entropy of the underlying graph of the Fischer cover of a synchronized system.

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D. Ahmadi Dastjerdi, S. Jangjooye Shaldehi. 2013-03-26. On synchronized non-sofic subshifts. https://arxiv.org/abs/1303.6570

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