A topological characterisation of holomorphic parabolic germs in the plane
| dc.creator | Roux, Frédéric Le | |
| dc.date | 2007-09-10 | |
| dc.date.accessioned | 2026-07-07T08:28:32Z | |
| dc.date.available | 2026-07-07T08:28:32Z | |
| dc.description | Gambaudo and Pécou introduced the ``linking property'' to study the dynamics of germs of planar homeomorphims and provide a new proof of Naishul theorem in their paper "A topological invariant for volume preserving diffeomorphisms" (Ergodic Theory Dynam. Systems 15 (1995), no. 3, 535--541). In this paper we prove that the negation of Gambaudo-Pécou property characterises 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 will turn out to be non trivial except for countably many conjugacy classes. | |
| dc.identifier | https://arxiv.org/abs/0709.1398 | |
| dc.identifier | http://arxiv.org/abs/0709.1398 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/137651 | |
| dc.subject | Dynamical Systems | |
| dc.title | A topological characterisation of holomorphic parabolic germs in the plane | |
| dc.type | text |