Spherical hypersurfaces and Lattès rational maps

DOI10.1016/S0021-7824(98)80003-2zbMath0913.58031WikidataQ127191052 ScholiaQ127191052MaRDI QIDQ1267279

Jean-Jacques Loeb, François Berteloot

Publication date: 26 May 1999

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

zbMATH Keywords

basin of attractionchaotic mapsrational mapsFatou sets

Mathematics Subject Classification ID

Topological dynamics (37B99) Meromorphic functions of one complex variable (general theory) (30D30)

Related Items (11)

Proper Holomorphic self-maps of quasi-circular domains in C² ⋮ On the regularity of the Green current for semi-extremal endomorphisms of \(\mathbb{P}^2\) ⋮ Dimension of ergodic measures and currents on ⋮ Proper holomorphic self-maps of smooth bounded Reinhardt domains in \(\mathbb C^n\) ⋮ Proper holomorphic self-maps of smooth bounded Reinhardt domains in \(\mathbb C^{2}\) ⋮ Fatou directions along the Julia set for endomorphisms of \({\mathbb{CK}}^k\) ⋮ Lattès maps on \(\mathbb P^2\) ⋮ Rigidity in holomorphic and quasiregular dynamics ⋮ A Cartan theorem for proper holomorphic mappings of complete circular domains ⋮ On Lattès mappings of \({\mathbb P}^k\) ⋮ Symmetrization of rational maps: Arithmetic properties and families of Lattès maps of ℙ^{𝕜}

Cites Work

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• Proper holomorphic images of strictly pseudoconvex domains
• Pseudoconvex domains: bounded strictly plurisubharmonic exhaustion functions
• A proof of Thurston's topological characterization of rational functions
• Parabolic orbifolds and the dimension of the maximal measure for rational maps
• The dynamics of rational transforms: the topological picture
• Exemples de fractions rationnelles ayant une orbite dense sur la sphère de Riemann

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