Pakapongpun, A and Ward, T orcid.org/0000-0002-8253-5767 (2014) Orbits for products of maps. Thai Journal of Mathematics, 12 (1). pp. 33-44. ISSN 1686-0209
Abstract
We study the behaviour of the dynamical zeta function and the orbit Dirichlet series for products of maps. The behaviour under products of the radius of convergence for the zeta function, and the abscissa of convergence for the orbit Dirichlet series, are discussed. The orbit Dirichlet series of the cartesian cube of a map with one orbit of each length is shown to have a natural boundary.
Metadata
Item Type: | Article |
---|---|
Authors/Creators: |
|
Copyright, Publisher and Additional Information: | © 2014 by the Mathematical Association of Thailand. This is an author produced version of a paper published in Thai Journal of Mathematics. Uploaded in accordance with the publisher's self-archiving policy. |
Keywords: | periodic orbits; natural boundary; orbit Dirichlet series; linear recurrence sequence |
Dates: |
|
Institution: | The University of Leeds |
Depositing User: | Symplectic Publications |
Date Deposited: | 19 Aug 2016 11:52 |
Last Modified: | 27 Jan 2018 20:35 |
Published Version: | http://thaijmath.in.cmu.ac.th/index.php/thaijmath/... |
Status: | Published |
Publisher: | Mathematical Association of Thailand |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:103802 |