Geodesic
Functorial orbit counting
Journal of integer sequences, Tome 12 (2009) no. 2
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.
Classification : 11B83 
@article{JIS_2009__12_2_a4,
     author = {Pakapongpun,  Apisit and Ward,  Thomas B.},
     title = {Functorial orbit counting},
     journal = {Journal of integer sequences},
     year = {2009},
     volume = {12},
     number = {2},
     zbl = {1254.37020},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2009__12_2_a4/}
}
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AU  - Ward,  Thomas B.
TI  - Functorial orbit counting
JO  - Journal of integer sequences
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VL  - 12
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/JIS_2009__12_2_a4/
LA  - en
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%A Ward,  Thomas B.
%T Functorial orbit counting
%J Journal of integer sequences
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%N 2
%U http://geodesic.mathdoc.fr/item/JIS_2009__12_2_a4/
%G en
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Pakapongpun,  Apisit; Ward,  Thomas B. Functorial orbit counting. Journal of integer sequences, Tome 12 (2009) no. 2. http://geodesic.mathdoc.fr/item/JIS_2009__12_2_a4/