Functorial orbit counting

Apisit Pakapongpun; Thomas Ward

Functorial orbit counting

Apisit Pakapongpun
, Thomas Ward

Research output: Contribution to journal › Article › peer-review

18 Citations (Scopus)

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
Article number	Article 09.2.4
Journal	Journal of Integer Sequences
Volume	12
Publication status	Published - 2009

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title = "Functorial orbit counting",

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.",

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language = "English",

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journal = "Journal of Integer Sequences",

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AB - 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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VL - 12

JO - Journal of Integer Sequences

JF - Journal of Integer Sequences

M1 - Article 09.2.4

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