Hyperbolic saddle measures and laminarity for holomorphic endomorphisms of $P^2C$

Autor:	Daurat, Sandrine
Rok vydání:	2016
Předmět:	Mathematics - Dynamical Systems Mathematics - Complex Variables
Druh dokumentu:	Working Paper
Popis:	We study the laminarity of the Green current of endomorphisms of $P^2C$ 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 $C^2$. Comment: 29 pages, 1 figure
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1603.08036 Zobrazit plný text záznamu View this record from Arxiv