Orbit Growth of Sofic Shifts and Periodic-Finite-Type Shifts

Author:

Nordin Azmeer,Noorani Mohd Salmi Md,Mohd Mohd Hafiz

Publisher

Springer Science and Business Media LLC

Reference31 articles.

1. Hardy, G.H., Wright, E.M.: An Introduction to the Theory of Numbers, 6th edn. Oxford University Press, Oxford (2008)

2. Parry, W., Pollicott, M.: Zeta functions and the periodic orbit structure of hyperbolic dynamics. Asterisque 187–188, 1–255 (1990)

3. Artin, M., Mazur, B.: On periodic points. Ann. Math. 81(1), 82–99 (1965). https://doi.org/10.2307/1970384

4. Nordin, A., Noorani, M.S.M.: Orbit growth of periodic-finite-type shifts via Artin–Mazur zeta function. Mathematics 8(5), 685 (2020). https://doi.org/10.3390/math8050685

5. Noorani, M.S.M.: Mertens theorem and closed orbits of ergodic toral automorphisms. Bull. Malays. Math. Sci. Soc. 22, 127–133 (1999)

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