Ward, T orcid.org/0000-0002-8253-5767 (1999) Dynamical Zeta Functions for Typical Extensions of Full Shifts. Finite Fields and their Applications, 5 (3). pp. 232-239. ISSN 1071-5797
Abstract
We consider a family of isometric extensions of the full shift on p symbols (for p a prime) parametrized by a probability space. Using Heath-Brown's work on the Artin conjecture, it is shown that for all but two primes p the set of limit points of the growth rate of periodic points is infinite almost surely. This shows in particular that the dynamical zeta function is not algebraic almost surely.
Metadata
Item Type: | Article |
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Authors/Creators: | |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) > Pure Mathematics (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 27 Feb 2020 12:56 |
Last Modified: | 27 Feb 2020 12:56 |
Status: | Published |
Publisher: | Elsevier |
Identification Number: | 10.1006/ffta.1999.0250 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:149678 |
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