Distribution des préimages et des points périodiques d’une correspondance polynomiale

DOI10.24033/bsmf.2491zbMath1090.37032arXivmath/0303365OpenAlexW2964055932MaRDI QIDQ5290484

Tien-Cuong Dinh

Publication date: 28 April 2006

Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0303365

zbMATH Keywords

periodic pointsequilibrium measuregeneric pointLojasiewicz exponentrepelling pointspolynomial correspondence

Mathematics Subject Classification ID

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) Value distribution theory in higher dimensions (32H30)

Related Items (max. 100)

On amenable semigroups of rational functions ⋮ Pull-back of currents by holomorphic maps ⋮ Equidistribution of periodic points for modular correspondences ⋮ On self-correspondences on curves ⋮ Dynamics of holomorphic correspondences on Riemann surfaces ⋮ Equidistribution for matings of quadratic maps with the modular group ⋮ Regularization of currents and entropy ⋮ The dynamics of holomorphic correspondences of : invariant measures and the normality set ⋮ Equidistribution problems in complex dynamics of higher dimension ⋮ Sequences of multivalued meromorphic mappings and laminar currents ⋮ Polynomials Versus Finite Blaschke Products

Cites Work

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• Dynamics of polynomial-like mappings
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• On holomorphic permutable endomorphisms of \({\mathbb P}^k\).
• Dynamics of semiregular polynomial maps
• Invariant sets under iteration of rational functions
• Sequences of multivalued meromorphic mappings and laminar currents
• Uniqueness of entire and meromorphic functions sharing finite sets
• An invariant measure for rational maps
• On the growth of proper polynomial mappings
• Value distribution for sequences of rational mappings and complex dynamics
• Correspondances modulaires et mesures invariantes
• Ensembles d'unicité pour les polynômes
• Green currents for holomorphic automorphisms of compact Kähler manifolds
• Two characterizations of equilibrium measure of an endomorphism of \(P^k(\mathbb{C})\)
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