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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LYUBICH et al. (2020) studied this question.
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