%0 Journal Article
%T Dynamique des applications holomorphes propres de domaines reguliers et probleme de l'injectivite
%A Emmanuel Opshtein
%J Mathematics
%D 2005
%I arXiv
%X This 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 $\C^n$.
%U http://arxiv.org/abs/math/0501293v1