A dichotomy in orbit-growth for commuting automorphisms
Dynamical Systems
2010-06-01 v1
Abstract
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.
Cite
@article{arxiv.0904.3492,
title = {A dichotomy in orbit-growth for commuting automorphisms},
author = {Richard Miles and Thomas Ward},
journal= {arXiv preprint arXiv:0904.3492},
year = {2010}
}