Extending rational maps

DOI10.1090/S1088-4173-04-00115-8zbMath1128.37305OpenAlexW1624570970MaRDI QIDQ4674814

Gaven J. Martin

Publication date: 18 May 2005

Published in: Conformal Geometry and Dynamics of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s1088-4173-04-00115-8

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Small divisors, rotation domains and linearization in holomorphic dynamics (37F50) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Kleinian groups (aspects of compact Riemann surfaces and uniformization) (30F40)

Related Items (2)

On Poincaré extensions of rational maps ⋮ Strongly automorphic mappings and Julia sets of uniformly quasiregular mappings

Cites Work

• Automorphic quasimeromorphic mappings in \(R^n\)
• Complex dynamics
• The analogue of Picard's theorem for quasiregular mappings in dimension three
• On the dynamics of rational maps
• Branch sets of uniformly quasiregular maps
• Uniformly quasiregular mappings of Lattès type
• Rigidity in holomorphic and quasiregular dynamics
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