Graph components and dynamics over finite fields
Dynamical Systems
2014-07-01 v1
Abstract
For polynomials and rational maps of fixed degree over a finite field, we bound both the average number of connected components of their functional graphs as well as the average number of periodic points of their associated dynamical systems.
Cite
@article{arxiv.1108.4132,
title = {Graph components and dynamics over finite fields},
author = {Ryan Flynn and Derek Garton},
journal= {arXiv preprint arXiv:1108.4132},
year = {2014}
}
Comments
12 pages