Functorial orbit counting

zbMath1254.37020arXiv0901.2646MaRDI QIDQ3637667

Thomas B. Ward, Apisit Pakapongpun

Publication date: 13 July 2009

Full work available at URL: https://arxiv.org/abs/0901.2646

zbMATH Keywords

iterationDirichlet seriesclosed orbitsfunctorial properties

Mathematics Subject Classification ID

Other Dirichlet series and zeta functions (11M41) Special sequences and polynomials (11B83) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30)

Related Items (8)

Counting Closed Orbits in Discrete Dynamical Systems ⋮ Mertens’ theorem for toral automorphisms ⋮ Counting finite orbits for the flip systems of shifts of finite type ⋮ Time-changes preserving zeta functions ⋮ Orbit growth of Dyck and Motzkin shifts via Artin–Mazur zeta function ⋮ Representing and counting the subgroups of the group \(\mathbb{Z}_m \times \mathbb{Z}_n\) ⋮ Dold sequences, periodic points, and dynamics ⋮ Stirling numbers and periodic points

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