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Fatou Components of Attracting Skew-Products

We investigate the existence of wandering Fatou components for polynomial skew-products in two complex variables. In 2004, the non-existence of wandering domains near a super-attracting invariant fiber was shown in Lilov (Fatou theory in two dimensions, PhD thesis, University of Michigan, 2004). In...

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Detalles Bibliográficos
Autores principales: Peters, Han, Smit, Iris Marjan
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer US 2017
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6294192/
https://www.ncbi.nlm.nih.gov/pubmed/30595638
http://dx.doi.org/10.1007/s12220-017-9811-6