Functorial orbit counting

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:
Depositing User: Vishal Gautam
Date Deposited: 18 Mar 2011 14:48
Last Modified: 21 Apr 2020 17:43
URI: https://ueaeprints.uea.ac.uk/id/eprint/19756
DOI:

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