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arXiv · 1309.6656

A non-laminar dynamical Green current

Romain Dujardin
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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

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Romain Dujardin. 2014-04-16. A non-laminar dynamical Green current. https://arxiv.org/abs/1309.6656

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