Orbit-counting for nilpotent group shifts

DOI10.1090/S0002-9939-08-09649-4zbMath1160.22005arXiv0706.3630OpenAlexW2050899638WikidataQ61835145 ScholiaQ61835145MaRDI QIDQ3623365

Thomas B. Ward, Richard B. Miles

Publication date: 17 April 2009

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0706.3630

Mathematics Subject Classification ID

Ergodic theory on groups (22D40) Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) General groups of measure-preserving transformations and dynamical systems (37A15)

Related Items

Compact group automorphisms, addition formulas and Fuglede-Kadison determinants ⋮ A dynamical zeta function for group actions ⋮ Orbit growth for algebraic flip systems ⋮ Homoclinic groups, IE groups, and expansive algebraic actions ⋮ Counting finite orbits for the flip systems of shifts of finite type ⋮ Synchronization points and associated dynamical invariants ⋮ Dold sequences, periodic points, and dynamics ⋮ Directional uniformities, periodic points, and entropy

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• An analogue of Mertens' theorem for closed orbits of Axiom A flows
• Periodic Points for Expansive Actions of Z ^d on Compact Abelian Groups
• Orbit-counting in non-hyperbolic dynamical systems
• Analytic properties of zeta functions and subgroup growth

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