Digraph Representations Of Rational Functions Over $p$-adic Numbers
Dynamical Systems
2011-08-31 v1 Number Theory
Abstract
In this paper, we construct a digraph structure on -adic dynamical systems defined by rational functions. We study the conditions under which the functions are measure-preserving, invertible and isometric, ergodic, and minimal on invariant subsets, by means of graph theoretic properties.
Cite
@article{arxiv.0909.4130,
title = {Digraph Representations Of Rational Functions Over $p$-adic Numbers},
author = {Hansheng Diao and Cesar E. Silva},
journal= {arXiv preprint arXiv:0909.4130},
year = {2011}
}
Comments
22 pages