Itération d’applications rationnelles dans les espaces de matrices

DOI10.1090/S1088-4173-2011-00228-1zbMath1286.37046MaRDI QIDQ2888639

Julie Déserti, Dominique Cerveau

Publication date: 1 June 2012

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

zbMATH Keywords

matrix spacesiteration of rational maps

Mathematics Subject Classification ID

Rational and birational maps (14E05) 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)

Related Items (2)

Fatou-Julia dichotomy of matrix-valued polynomials ⋮ Degree growth of rational maps induced from algebraic structures

Cites Work

• Unnamed Item
• Iterated maps on the interval as dynamical systems
• Complex analytic geometry
• Frobenius avec singularites. II: Le cas général
• Dynamical properties of plane polynomial automorphisms
• Hypersurfaces exceptionnelles des endomorphismes de ??(n)
• Pasting Together Julia Sets: A Worked Out Example of Mating
• Holomorphic equivalence between basins of attraction in C^2
• QUATERNION DYNAMICS AND FRACTALS IN ℝ⁴

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