Jaidee, S, Moss, P and Ward, T orcid.org/0000-0002-8253-5767 (2019) Time-changes preserving zeta functions. Proceedings of the American Mathematical Society, 147 (10). pp. 4425-4438. ISSN 0002-9939
Abstract
We associate to any dynamical system with finitely many periodic orbits of each length a collection of possible time-changes of the sequence of periodic point counts that preserve the property of counting periodic points. Intersecting over all dynamical systems gives a monoid of time-changes that have this property for all such systems. We show that the only polynomials lying in this `universally good' monoid are the monomials, and that this monoid is uncountable. Examples give some insight into how the structure of the collection of maps varies for different dynamical systems.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2019 American Mathematical Society. This is an author produced version of a paper published in Proceedings of the American Mathematical Society. Uploaded in accordance with the publisher's self-archiving policy. |
Keywords: | math.DS; math.DS; math.NT; 37P35 (Primary) 37C30, 11N32 (Secondary) |
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: | 14 Jun 2019 15:23 |
Last Modified: | 30 Sep 2019 08:20 |
Status: | Published |
Publisher: | American Mathematical Society |
Identification Number: | 10.1090/proc/14574 |
Related URLs: | |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:137462 |