arXiv:1611.09840 Abstract | arXiv Analytics

arXiv:1611.09840 [math.DS]Abstract References Reviews Resources

Hedgehogs in higher dimensions and their applications

Mikhail Lyubich, Remus Radu, Raluca Tanase

Published 2016-11-29Version 1

In this paper we study the dynamics of germs of holomorphic diffeomorphisms of $(\mathbb{C}^{n},0)$ with a fixed point at the origin with exactly one neutral eigenvalue. We prove that the map on any local center manifold of $0$ is quasiconformally conjugate to a holomorphic map and use this to transport results from one complex dimension to higher dimensions.

Categories: math.DS, math.CV

Subjects: 37D30, 37F30, 32A10

Keywords: higher dimensions, applications, local center manifold, holomorphic diffeomorphisms, neutral eigenvalue

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