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arXiv · 1611.09840

Hedgehogs in higher dimensions and their applications

Mikhail Lyubich·Remus Radu·Raluca Tanase
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Abstract

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.

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Mikhail Lyubich, Remus Radu, Raluca Tanase. 2016-11-29. Hedgehogs in higher dimensions and their applications. https://arxiv.org/abs/1611.09840

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