Functorial orbit counting

Pakapongpun, A.; Ward, T.

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: Oct 18, 2012
• Journal: Journal of integer sequences
• Electronic ISSN: 1530-7638
• Publisher: University of Waterloo, School of Computer Science
• Peer Reviewed: Peer Reviewed
• Volume: 12
• Article Number: 09.2.4
• Public URL: https://durham-repository.worktribe.com/output/1472327
• Publisher URL: https://cs.uwaterloo.ca/journals/JIS/VOL12/Ward/ward17.html