Attracting domains of maps tangent to the identity whose only characteristic direction is non-degenerate

Details Attracting domains of maps tangent to the identity whose only characteristic direction is non-degenerate Attracting domains of maps tangent to the identity whose only characteristic direction is non-degenerate

2012-02-01

arxiv.org/abs/1202.0269v1

Mathematics

Dynamical Systems

Scientific paper

We prove that a holomorphic fixed point germ in two complex variables,
tangent to the identity, and whose only characteristic direction is
non-degenerate, has a domain of attraction on which the map is conjugate to a
translation. In the case of a global automorphism, the corresponding domain of
attraction is a Fatou-Bieberbach domain.

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