Ascoli-Arzelà type theorem for rational iterations on the complex projective plane

DOI10.1090/S0002-9939-08-09201-0zbMath1193.37060MaRDI QIDQ3518246

Kazutoshi Maegawa

Publication date: 7 August 2008

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Julia setsStein manifoldsrational mapsFatou sets

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) Iteration of holomorphic maps, fixed points of holomorphic maps and related problems for several complex variables (32H50)

Cites Work

• Fatou sets in complex dynamics on projective spaces
• On the sample paths of the symmetric stable processes in spaces
• Value distribution for sequences of rational mappings and complex dynamics
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