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On embedding conditions of shifts of finite type into the Fibonacci-Dyck shift | IEEE Conference Publication | IEEE Xplore

On embedding conditions of shifts of finite type into the Fibonacci-Dyck shift


Abstract:

We consider the embedding problem for shifts of finite type (SFT) into the Fibonacci-Dyck shift. First, we find the reflection principle does not hold for the path in the...Show More

Abstract:

We consider the embedding problem for shifts of finite type (SFT) into the Fibonacci-Dyck shift. First, we find the reflection principle does not hold for the path in the Fibonacci-Dyck shift. Then, we obtain the limit of a sequence of topological entropies of a class of irreducible (d - 1)-step SFT of the Fibonacci-Dyck shift, where d(≥ 2) are even integers. This limit provide one of the embedding conditions for the Fibonacci-Dyck shift. Finally, we generalize the result on computing the above limit of a sequence of topological entropies to the Markov-Dyck shift.
Date of Conference: 01-06 July 2012
Date Added to IEEE Xplore: 27 August 2012
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Conference Location: Cambridge, MA, USA

References

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