Perturbations of multidimensional shifts of finite type
2010 ◽
Vol 31
(2)
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pp. 483-526
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AbstractIn this paper, we study perturbations of multidimensional shifts of finite type. Specifically, for any ℤd shift of finite type X with d>1 and any finite pattern w in the language of X, we denote by Xw the set of elements of X not containing w. For strongly irreducible X and patterns w with shape a d-dimensional cube, we obtain upper and lower bounds on htop (X)−htop (Xw) dependent on the size of w. This extends a result of Lind for d=1 . We also apply our methods to an undecidability question in ℤd symbolic dynamics.
2019 ◽
Vol 41
(2)
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pp. 321-337
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2009 ◽
Vol 09
(03)
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pp. 393-422
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METASTABILITY, LYAPUNOV EXPONENTS, ESCAPE RATES, AND TOPOLOGICAL ENTROPY IN RANDOM DYNAMICAL SYSTEMS
2013 ◽
Vol 13
(04)
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pp. 1350004
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