Dynamique des applications holomorphes propres de domaines reguliers et probleme de l'injectivite

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dc.creatorOpshtein, Emmanuel
dc.date2005-01-19
dc.date.accessioned2026-07-07T05:16:11Z
dc.date.available2026-07-07T05:16:11Z
dc.descriptionThis paper deals with proper holomorphic self-maps of smoothly bounded pseudoconvex domains in $\C^2$. We study the dynamical properties of their extension to the boundary and show that their non-wandering sets are always contained in the weakly pseudoconvex part of the boundary. In the case of complete circular domains, we combine this fact with an entropy/degree argument to show that the maps are automorphisms. Some of our results remain true in $\C^n$.
dc.description25 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/math/0501293
dc.identifierhttp://arxiv.org/abs/math/0501293
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/73890
dc.subjectComplex Variables
dc.subjectDynamical Systems
dc.subject32H35, 32H50, 37F99
dc.titleDynamique des applications holomorphes propres de domaines reguliers et probleme de l'injectivite
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