Functorial orbit counting
classification
🧮 math.NT
math.DS
keywords
functorialintegermapsorbitsequencearbitraryassociatedcartesian
read the original 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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