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.
| Original language | English |
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| Article number | Article 09.2.4 |
| Journal | Journal of Integer Sequences |
| Volume | 12 |
| Publication status | Published - 2009 |