Graphs associated with the map $x \mapsto x + x^{-1}$ in finite fields of characteristic three
Number Theory
2012-12-06 v5 Dynamical Systems
Abstract
In this paper we study the structure of the graphs associated with the iterations of the map over finite fields of characteristic three.
Cite
@article{arxiv.1108.1763,
title = {Graphs associated with the map $x \mapsto x + x^{-1}$ in finite fields of characteristic three},
author = {Simone Ugolini},
journal= {arXiv preprint arXiv:1108.1763},
year = {2012}
}
Comments
The definitions of the maps $s$ and $\psi$ have been slightly modified in order to simplify the following discussion. 6 pages