Institute for Mathematical Sciences
Tanya Firsova, Mikhail Lyubich, Remus Radu, and Raluca Tanase
Hedgehogs for neutral dissipative germs of holomorphic diffeomorphisms of (C^2, 0)
Abstract: We prove the existence of hedgehogs for germs of complex analytic diffeomorphisms of (C^2, 0) with a semi-neutral fixed point at the origin, using topological techniques.
This approach also provides an alternative proof of a theorem of P\'erez-Marco on the existence of
hedgehogs for germs of univalent holomorphic maps of (C, 0) with a neutral fixed point.
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