Arbitrary large number of non trivial rescaling limits
Dynamical Systems
2016-07-01 v1
Abstract
We construct a family of rational map sequences providing an arbitrary large number of dynamically independent rescaling limits of non monomial type. From this, we deduce the existence of a family of rational maps providing a non trivial dynamics on the Berkovich projective line over the field of formal Puiseux series.
Keywords
Cite
@article{arxiv.1606.09574,
title = {Arbitrary large number of non trivial rescaling limits},
author = {Matthieu Arfeux and Guizhen Cui},
journal= {arXiv preprint arXiv:1606.09574},
year = {2016}
}
Comments
18 pages, 2 figures