Functorial orbit counting

Details Functorial orbit counting Functorial orbit counting

2009-01-17

arxiv.org/abs/0901.2646v1

Journal of Integer Sequences, 12:Article 09.2.4, 2009

Mathematics

Number Theory

Scientific paper

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.

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