Analogues of the prime number theorem and Mertens' theorem for closed orbits of the Motzkin shift

DOI10.1007/S40840-015-0144-YzbMath1375.37032OpenAlexW2228330871MaRDI QIDQ506203

Fahad Alsharari, Habibullah Akhadkulov, Mohd. Salmi Md. Noorani

Publication date: 31 January 2017

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40840-015-0144-y

zbMATH Keywords

periodic pointprime orbit theoremMotzkin shift

Mathematics Subject Classification ID

Periodic orbits of vector fields and flows (37C27) Orbit growth in dynamical systems (37C35) Symbolic dynamics (37B10)

Related Items (3)

Counting Closed Orbits in Discrete Dynamical Systems ⋮ Counting finite orbits for the flip systems of shifts of finite type ⋮ Orbit growth of Dyck and Motzkin shifts via Artin–Mazur zeta function

Cites Work

• An analogue of the prime number theorem for closed orbits of Axiom A flows
• An analogue of the prime number theorem for closed orbits of shifts of finite type and their suspensions
• The prime orbit theorem for quasihyperbolic toral automorphisms
• Symbolic dynamics. One-sided, two-sided and countable state Markov shifts
• Counting closed orbits of hyperbolic diffeomorphisms
• Mertens’ theorem for toral automorphisms
• An analogue of Mertens' theorem for closed orbits of Axiom A flows
• On the uniqueness of the equilibrium state
• An Introduction to Symbolic Dynamics and Coding
• Orbit-counting in non-hyperbolic dynamical systems
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