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
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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.