Functorial orbit counting

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Pakapongpun, Apisit and Ward, Thomas (2009) Functorial orbit counting. Journal of Integer Sequences, 12.

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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.

Item Type:	Article
Faculty \ School:	Faculty of Science > School of Mathematics
Related URLs:	http://www.ams.org/mathscinet-getitem?mr... http://arxiv.org/abs/0901.2646
Depositing User:	Vishal Gautam
Date Deposited:	18 Mar 2011 14:48
Last Modified:	05 Jan 2023 16:31
URI:	https://ueaeprints.uea.ac.uk/id/eprint/19756
DOI:

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