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Periodic-Finite-Type Shift Spaces [PDF]
IEEE Transactions on Information Theory, 2011 We study the class of periodic-finite-type (PFT) shift spaces, which can be used to model time-varying constrained codes used in digital magnetic recording systems. A PFT shift is determined by a finite list of periodically forbidden words. We show that the class of PFT shifts properly contains all finite-type (FT) shifts, and the class of almost ...
Béal, Marie-Pierre +3 more
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Projective subdynamics and universal shifts [PDF]
Discrete Mathematics & Theoretical Computer Science, 2011 We study the projective subdynamics of two-dimensional shifts of finite type, which is the set of one-dimensional configurations that appear as columns in them.
Pierre Guillon
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Periodic Intermediate β-Expansions of Pisot Numbers
Mathematics, 2020 The subshift of finite type property (also known as the Markov property) is ubiquitous in dynamical systems and the simplest and most widely studied class of dynamical systems are β -shifts, namely transformations of the form T β , α : x ↦ β
Blaine Quackenbush +2 more
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Orbit Growth of Periodic-Finite-Type Shifts via Artin–Mazur Zeta Function
Mathematics, 2020 The prime orbit and Mertens’ orbit counting functions describe the growth of closed orbits in a discrete dynamical system in a certain way. In this paper, we prove the asymptotic behavior of these functions for a periodic-finite-type shift.
Azmeer Nordin, Mohd Salmi Md Noorani
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Research and Review Journal of Nondestructive Testing, 2023 This paper presents a new methodology for noncontact measurement of the axial force of bolts in their tightening processes using laser-generated ultrasound waves.
So Kitazawa, Yong Lee, Rikesh Patel
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Locally resonant metasurface for low-frequency transmissive underwater acoustic waves
Frontiers in Physics, 2023 Introduction: Acoustic metasurfaces for underwater wave manipulation have great potential use, but the strong solid-fluid interaction caused by impedance closeness between the structure and water brings design difficulty, especially in the low-frequency ...
Zhong Chen +5 more
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On the Period of a Periodic-Finite-Type Shift [PDF]
2008 IEEE International Symposium on Information Theory, 2008 revised version; 5 pages; to appear in the Proceedings of the 2008 IEEE International Symposium on Information Theory (ISIT'08), Toronto ...
Akiko Manada, Navin Kashyap
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Measurement + Control, 2022 Enhancing the detection power of control charts for detecting small to moderate process changes is always the focus of attention in academia. To improve the detection ability of conventional X ¯ and R control charts, an improved joint X ¯ and R chart ...
Qiang Wan, Mei Zhu
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The general treatment of giant Goos-Hänchen shift in a slab cavity
Journal of Taibah University for Science, 2020 In this study, the general treatment to obtain negative/positive giant Goos-Hänchen shifts for a slab cavity is provided. We find that there are two main types of giant shifts: The first type (type I) is associated with near-zero reflection coefficient ...
Anas Othman
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K-Theoretic Duality for Shifts of Finite Type [PDF]
Communications in Mathematical Physics, 1997 C*-algebras generalizing Cuntz-Krieger algebras can be associated to hyperbolic homeomorphisms of compact metric spaces. They satisfy a non-commutative form of Spanier-Whitehead duality with respect to K-theory. We prove this for the case of subshifts of finite type. The special feature of the present situation is that the constructions are all done on
Kaminker, Jerome, Putnam, Ian
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