Rigidity of non-renormalizable Newton maps

Abstract

Non-renormalizable Newton maps are rigid. More precisely, we prove that their Julia set carries no invariant line fields and that the topological conjugacy is equivalent to quasi-conformal conjugacy in this case.

21 pages, 1 figures. To appear in SCIENCE CHINA Mathematics

References in corpus (2)

• Local connectivity and quasi-conformal rigidity of non-renormalizable polynomials
• Non-uniform hyperbolicity in complex dynamics

Cited by in corpus (1)

• Density of hyperbolicity of real Newton maps