Hyperbolic saddle measures and laminarity for holomorphic endomorphisms of P²C

2016/03/25 by Daurat, Sandrine
#Complex Variables (math.CV) #Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.1603.08036

Abstract

We study the laminarity of the Green current of endomorphisms of P²C 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 C².

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