A dichotomy in orbit-growth for commuting automorphisms

Details A dichotomy in orbit-growth for commuting automorphisms A dichotomy in orbit-growth for commuting automorphisms

2009-04-22

arxiv.org/abs/0904.3492v1

J. London Math. Soc., 81, 715-726 (2010)

Mathematics

Dynamical Systems

Scientific paper

10.1112/jlms/jdq010

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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