Uniform periodic point growth in entropy rank one
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- by Richard Miles and Thomas Ward PDF
- Proc. Amer. Math. Soc. 136 (2008), 359-365 Request permission
Abstract:
We show that algebraic dynamical systems with entropy rank one have uniformly exponentially many periodic points in all directions.References
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Additional Information
- Richard Miles
- Affiliation: School of Mathematics, KTH, SE-100 44 Stockholm, Sweden
- Thomas Ward
- Affiliation: School of Mathematics, University of East Anglia, Norwich, NR4 7TJ, United Kingdom
- MR Author ID: 180610
- Received by editor(s): September 25, 2006
- Published electronically: September 7, 2007
- Additional Notes: This research was supported by E.P.S.R.C. grant EP/C015754/1. Both authors express their thanks to Graham Everest and Shaun Stevens for helpful discussions.
- Communicated by: Jane M. Hawkins
- © Copyright 2007
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 136 (2008), 359-365
- MSC (2000): Primary 22D40, 37A15, 37A35
- DOI: https://doi.org/10.1090/S0002-9939-07-09018-1
- MathSciNet review: 2350424