A degenerate Newton's map in two complex variables: linking with currents
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Publication:881450
DOI10.1007/BF02922086zbMath1139.37038arXivmath/0601223OpenAlexW2135551616MaRDI QIDQ881450
Publication date: 30 May 2007
Published in: The Journal of Geometric Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0601223
Topological aspects of complex manifolds (32Q55) Iteration of holomorphic maps, fixed points of holomorphic maps and related problems for several complex variables (32H50) Topological properties of mappings on manifolds (58K15) Combinatorics and topology in relation with holomorphic dynamical systems (37F20)
Related Items (6)
Dynamics of Newton maps ⋮ Moduli space of cubic Newton maps ⋮ CONJECTURES ABOUT SIMPLE DYNAMICS FOR SOME REAL NEWTON MAPS ON ℝ2 ⋮ A dichotomy for Fatou components of polynomial skew products ⋮ Lee-Yang zeros for the DHL and 2D rational dynamics. I: Foliation of the physical cylinder ⋮ Superstable manifolds of invariant circles and codimension-one Böttcher functions
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