Graphs associated with the map $x \mapsto x+x^{-1}$ in finite fields of characteristic five

Mathematics – Dynamical Systems

Scientific paper

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17 pages, 1 example. Some proofs have been expanded. Fixed typos. arXiv admin note: text overlap with arXiv:1107.4565

Scientific paper

In this paper we study the structure of the graphs associated with the
iterations of the map $x \mapsto x+x^{-1}$ over finite fields of characteristic
five.

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