Functorial orbit counting
Number Theory
2009-09-22 v1 Dynamical Systems
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.
Cite
@article{arxiv.0901.2646,
title = {Functorial orbit counting},
author = {Apisit Pakapongpun and Thomas Ward},
journal= {arXiv preprint arXiv:0901.2646},
year = {2009}
}