Counting Closed Orbits in Discrete Dynamical Systems
DOI10.1007/978-981-32-9832-3_9zbMath1447.37034OpenAlexW2980228178MaRDI QIDQ3296914
Syahida Che Dzul-Kifli, Azmeer Nordin, Mohd. Salmi Md. Noorani
Publication date: 2 July 2020
Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-981-32-9832-3_9
Dyck shiftshift of finite typeprime orbit theoremMotzkin shiftArtin-Mazur zeta functioncountable state Markov shiftMeissel's orbit theoremMertens' orbit theorem
Orbit growth in dynamical systems (37C35) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Symbolic dynamics (37B10) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30) Relations between ergodic theory and number theory (37A44)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Analogues of the prime number theorem and Mertens' theorem for closed orbits of the Motzkin shift
- The prime orbit theorem for quasihyperbolic toral automorphisms
- Prime orbit theorems with multi-dimensional constraints for Axiom A flows
- Symbolic dynamics. One-sided, two-sided and countable state Markov shifts
- Stability of functional equations in \((n,\beta)\)-normed spaces
- On periodic points
- Embedding of shifts of finite type into the Dyck shift
- Circular codes, loop counting, and zeta-functions
- Mertens’ theorem for toral automorphisms
- Dirichlet series for finite combinatorial rank dynamics
- On Devaney Chaos and Dense Periodic Points: Period 3 and Higher Implies Chaos
- Functorial orbit counting
- 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
- Topological Entropy
- Orbit-counting in non-hyperbolic dynamical systems
This page was built for publication: Counting Closed Orbits in Discrete Dynamical Systems
