Degree Growth, Linear Independence and Periods of a Class of Rational Dynamical Systems
Number Theory
2011-09-06 v1 Dynamical Systems
Abstract
We introduce and study algebraic dynamical systems generated by triangular systems of rational functions. We obtain several results about the degree growth and linear independence of iterates as well as about possible lengths of trajectories generated by such dynamical systems over finite fields. Some of these results are generalisations of those known in the polynomial case, some are new even in this case.
Keywords
Cite
@article{arxiv.1109.0575,
title = {Degree Growth, Linear Independence and Periods of a Class of Rational Dynamical Systems},
author = {Alina Ostafe and Igor Shparlinski},
journal= {arXiv preprint arXiv:1109.0575},
year = {2011}
}