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Orbit Growth of Sofic Shifts and Periodic-Finite-Type Shifts
Qualitative Theory of Dynamical Systems, 2022A sofic shift is a shift space consisting of bi-infinite labels of paths from a labelled graph. Being a dynamical system, the distribution of its closed orbits may indicate the complexity of the shift.
Azmeer Nordin +2 more
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shifts of finite type without equal entropy full shift factors
Journal of Difference Equations and Applications, 2009Mike Boyle
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On structure of topological entropy for tree-shift of finite type
Journal of Differential Equations, 2021This paper deals with the topological entropy for hom Markov shifts T M on d-tree. If M is a reducible adjacency matrix with q irreducible components M 1 , ⋯ , M q , we show that h ( T M ) = max 1 ≤ i ≤ q h ( T M i ) fails generally, and present a case
Jung-Chao Ban +3 more
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Perturbations of Shifts of Finite Type
SIAM Journal on Discrete Mathematics, 1989Summary: Shifts of finite type describe the infinite trips on a labeled graph, and provide theoretical models for data storage and transmission. The consequences of forbidding a fixed word to occur, which can be considered as a small change or perturbation in the system, are investigated.
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On embeddings of shifts of finite type into the golden-mean-Dyck shift
2010 International Symposium On Information Theory & Its Applications, 2010We consider the embedding problem for shifts of finite type into the golden-mean-Dyck shift. To this end, we study periodic points in the golden-mean-Dyck shift. We obtain the number of such periodic points of length n in the form of the trace of the n-th term of a sequence of the associated matrices.
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ZETA FUNCTIONS FOR HIGHER-DIMENSIONAL SHIFTS OF FINITE TYPE
International Journal of Bifurcation and Chaos, 2009This work investigates zeta functions for d-dimensional shifts of finite type, d ≥ 3. First, the three-dimensional case is studied. The trace operator Ta1,a2;b12and rotational matrices Rx;a1,a2;b12and Ry;a1,a2;b12are introduced to study [Formula: see text] -periodic patterns.
Wen-Guei Hu, Song-Sun Lin
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On embedding conditions of shifts of finite type into the Fibonacci-Dyck shift
2012 IEEE International Symposium on Information Theory Proceedings, 2012We 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 ...
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On the asymptotic range of cocyles for shifts of finite type
Ergodic Theory and Dynamical Systems, 1993AbstractWe study the problem of lifting ergodicity to certain skew-product extensions over shifts of finite type. This can be done by computing the asymptotic range of the defining cocycle. For a class of ergodic shift-invariant measures and a class of functions (defining conservative extensions) we give a characterization of ergodicity in terms of ...
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Intermediate β-shifts of finite type
2014v3: 19 pages, 6 figures, fixed typos and minor errors, to appear in Discrete Contin. Dyn.
Li, Bing, Sahlsten, Tuomas, Samuel, Tony
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Factor maps and embeddings for random ℤd shifts of finite type
Israel Journal of Mathematics, 2019K. McGoff, R. Pavlov
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