Institute for Mathematical Sciences

Preprint ims16-03

Mikhail Lyubich, Remus Radu, and Raluca Tanase
Hedgehogs in higher dimensions and their applications

Abstract: In this paper we study the dynamics of germs of holomorphic diffeomorphisms of (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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