中文

特征为三的有限域上与映射 $x \mapsto x + x^{-1}$ 关联的图

数论 2012-12-06 v5 动力系统

摘要

本文研究在特征为三的有限域上,与映射 xx+x1x \mapsto x+x^{-1} 的迭代相关联的图的结构。

关键词

引用

@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}
}

备注

The definitions of the maps $s$ and $\psi$ have been slightly modified in order to simplify the following discussion. 6 pages