Functorial orbit counting

Apisit Pakapongpun, Thomas Ward

Research output: Contribution to journalArticlepeer-review

16 Citations (Scopus)


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 languageEnglish
Article numberArticle 09.2.4
JournalJournal of Integer Sequences
Publication statusPublished - 2009

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