A dichotomy in orbit growth for commuting automorphisms

Richard Miles, Thomas Ward

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4 Citations (Scopus)


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.
Original languageEnglish
Pages (from-to)715-726
Number of pages12
JournalJournal of the London Mathematical Society
Issue number3
Publication statusPublished - 2010

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