Repelling periodic points and logarithmic equidistribution in non-archimedean dynamics
Dynamical Systems
2012-03-20 v2 Number Theory
Abstract
It is an open problem whether repelling periodic points are dense in the classical Julia set of a non-archimedean rational function of degree more than one. We give a partial positive answer to this question based on a study of a logarithmic equidistribution on the Berkovich projective line over non-archimedean fields.
Keywords
Cite
@article{arxiv.1106.3363,
title = {Repelling periodic points and logarithmic equidistribution in non-archimedean dynamics},
author = {Yûsuke Okuyama},
journal= {arXiv preprint arXiv:1106.3363},
year = {2012}
}
Comments
To appear in Acta Arithmetica. For the preprint, please see <a href="http://yusuke.cajpn.org/">our home page</a>