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Functorial orbit counting

Pakapongpun, A.; Ward, T.

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Authors

A. Pakapongpun

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

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