Counting closed orbits for the Dyck shift

DOI10.1155/2014/304798zbMath1449.37017OpenAlexW2053241811WikidataQ59037998 ScholiaQ59037998MaRDI QIDQ1723808

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

Publication date: 14 February 2019

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/304798

zbMATH Keywords

Dyck shiftMertens' theoremprime orbit theorem

Mathematics Subject Classification ID

Orbit growth in dynamical systems (37C35) Multidimensional shifts of finite type (37B51)

Related Items (1)

Estimates on the number of orbits of the Dyck shift

Cites Work

• Unnamed Item
• 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
• Counting closed orbits of hyperbolic diffeomorphisms
• Embedding of shifts of finite type into the Dyck shift
• Mertens’ theorem for toral automorphisms
• An analogue of Mertens' theorem for closed orbits of Axiom A flows
• On the uniqueness of the equilibrium state
• Orbit-counting in non-hyperbolic dynamical systems

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