English

Uniform Periodic Point Growth in Entropy Rank One

Dynamical Systems 2008-01-14 v1 Number Theory

Abstract

We show that algebraic dynamical systems with entropy rank one have uniformly exponentially many periodic points in all directions.

Keywords

Cite

@article{arxiv.math/0609510,
  title  = {Uniform Periodic Point Growth in Entropy Rank One},
  author = {Richard Miles and Thomas Ward},
  journal= {arXiv preprint arXiv:math/0609510},
  year   = {2008}
}