Hedgehogs for neutral dissipative germs of holomorphic diffeomorphisms   of $(\mathbb{C}^{2},0)$
  We prove the existence of hedgehogs for germs of complex analytic diffeomorphisms of $(\mathbb{C}^{2},0)$ 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 $(\mathbb{C},0)$ with a neutral fixed point. 
Tanya Firsova, Mikhail Lyubich, Remus Radu, and Raluca Tanase
math.DS