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Resumen de A topological characterization of holomorphic parabolic germs in the plane

Frédéric Le Roux

  • J.-M. Gambaudo and É. Pécou introduced the ``linking property'' in the study of the dynamics of germs of planar homeomorphisms in order to provide a new proof of Naishul's theorem. In this paper we prove that the negation of the Gambaudo�Pécou property characterizes the topological dynamics of holomorphic parabolic germs. As a consequence, a rotation set for germs of surface homeomorphisms around a fixed point can be defined, and it turns out to be non-trivial except for countably many conjugacy classes.


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