A dichotomy in orbit growth for commuting automorphisms
- Autores: Richard Miles, Thomas Ward
- Localización: Journal of the London Mathematical Society, ISSN 0024-6107, Vol. 81, Nº 3, 2010, págs. 715-726
- Idioma: inglés
- DOI: 10.1112/jlms/jdq010
- Enlaces
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Resumen
We consider asymptotic orbit-counting problems for certain expansive actions by commuting automorphisms of compact groups. A dichotomy is found between systems with asymptotically more periodic orbits than the topological entropy predicts, and those for which there is no excess of periodic orbits.
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