A non-laminar dynamical Green current
Dynamical Systems
2014-04-18 v2 Complex Variables
Abstract
A holomorphic endomorphism f of CP^2 admits a Julia set J_1, defined as usual to be the locus of non-normality of its iterates, and a (typically) smaller Julia set J_2, which is essentially the closure of the set of repelling periodic orbits. The question has been raised whether J_1\J_2 is filled (possibly in a measure-theoretic sense) with "Fatou subvarieties" along which the dynamics is locally equicontinuous. In this article we construct examples showing that this is not the case in general
Keywords
Cite
@article{arxiv.1309.6656,
title = {A non-laminar dynamical Green current},
author = {Romain Dujardin},
journal= {arXiv preprint arXiv:1309.6656},
year = {2014}
}
Comments
Some modifications in the proofs of Lemmas 2.7 and 2.8