On Lattès mappings of \({\mathbb P}^k\)

DOI10.1016/S0021-7824(01)01205-3zbMath1026.37040OpenAlexW1972324437MaRDI QIDQ1606244

Tien-Cuong Dinh

Publication date: 24 July 2002

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

Full work available at URL: https://doi.org/10.1016/s0021-7824(01)01205-3

zbMATH Keywords

Lattès mapGreen currentJulia se

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10)

Related Items

Dimension of ergodic measures and currents on ⋮ Commuting pairs of endomorphisms of ⋮ Sur les endomorphismes polynomiaux permutables de \({\mathbb C}^2\). (On the commuting polynomial endomorphisms of \({\mathbb C}^2\)) ⋮ Lattès maps on \(\mathbb P^2\) ⋮ Dynamical stability and Lyapunov exponents for holomorphic endomorphisms of CP(k)

Cites Work

• Sur le prolongement holomorphe des fonctions CR définies sur une hypersurface réelle de classe \(C^ 2\) dans \({\mathbb{C}}^ n\). (Holomorphic continuation of CR-functions defined on a real hypersurface of class \(C^ 2\) in \({\mathbb{C}}^ n)\)
• Spherical hypersurfaces and Lattès rational maps
• Lyapunov exponent and the distribution of the periodic points of an endomorphism of \(\mathbb {CP}^k\)
• Holomorphic mappings from the ball and polydisc
• Rational iteration: complex analytic dynamical systems
• Local Contractions and a Theorem of Poincare
• Normality criteria for families of meromorphic functions
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