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On the generalizations of Denjoy-Wolff theorem
Authors:Xu Lifang  Yang Huanhuan
Institution:1. Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan 430071, China Graduate School of Chinese Academy of Sciences, Beijing 100039, China;2. Department of Mathematics and Computer Science, Emory University, Atlanta, GA30322, USA
Abstract:We consider generalizations of Denjoy-Wolff theorem on strongly pseudo-convex domains. Beardon 3] gave a general Denjoy-Wolff theorem in hyperboli domain in the complex plane. Our main results are generalizations of Beardon's result in a higher dimensional setting.
Keywords:holomorphic random iteration  strong pseudo-convex domain  Denjoy-Wolff theorem
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