Hyperbolic saddle measures and laminarity for holomorphic endomorphisms of $P^2C$
Dynamical Systems
2016-06-01 v2 Complex Variables
Abstract
We study the laminarity of the Green current of endomorphisms of near hyperbolic measures of saddle type. When these measures are supported by attracting sets, we prove that the Green current is laminar in the basin of attraction and we obtain new ergodic properties. This generalizes some results of Bedford and Jonsson on regular polynomial mappings in .
Keywords
Cite
@article{arxiv.1603.08036,
title = {Hyperbolic saddle measures and laminarity for holomorphic endomorphisms of $P^2C$},
author = {Sandrine Daurat},
journal= {arXiv preprint arXiv:1603.08036},
year = {2016}
}
Comments
29 pages, 1 figure