A. Pakapongpun
Functorial orbit counting
Pakapongpun, A.; Ward, T.
Authors
T. Ward
Abstract
We study the functorial and growth properties of closed orbits for maps. By viewing an arbitrary sequence as the orbit-counting function for a map, iterates and Cartesian products of maps define new transformations between integer sequences. An orbit monoid is associated to any integer sequence, giving a dynamical interpretation of the Euler transform.
Citation
Pakapongpun, A., & Ward, T. (2009). Functorial orbit counting. Journal of integer sequences, 12, Article 09.2.4
Journal Article Type | Article |
---|---|
Publication Date | Jan 1, 2009 |
Deposit Date | Oct 12, 2012 |
Publicly Available Date | Mar 28, 2024 |
Journal | Journal of integer sequences |
Publisher | University of Waterloo, School of Computer Science |
Peer Reviewed | Peer Reviewed |
Volume | 12 |
Article Number | 09.2.4 |
Publisher URL | https://cs.uwaterloo.ca/journals/JIS/VOL12/Ward/ward17.html |
Files
Accepted Journal Article
(413 Kb)
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