Upper bound for the topological entropy of a meromorphic correspondence

DOI10.1007/s11856-008-0002-9zbMath1163.37011arXivmath/0604507OpenAlexW2012341045MaRDI QIDQ926415

Tien-Cuong Dinh, Nessim Sibony

Publication date: 27 May 2008

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0604507

zbMATH Keywords

dynamical systemsJulia setstopological entropyKähler manifolds

Mathematics Subject Classification ID

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) Topological entropy (37B40) Iteration of holomorphic maps, fixed points of holomorphic maps and related problems for several complex variables (32H50)

Related Items (15)

Densities of Currents on Non-Kähler Manifolds ⋮ Hurwitz correspondences on compactifications of \(\mathcal{M}_{0, N}\) ⋮ Étale dynamical systems and topological entropy ⋮ Complex geometry and dynamical systems. Abstracts from the workshop held September 4--10, 2022 ⋮ Dynamical degrees of Hurwitz correspondences ⋮ Equidistribution for matings of quadratic maps with the modular group ⋮ Eigenvalues and dynamical degrees of self-maps on abelian varieties ⋮ Algebraic stability of meromorphic maps descended from Thurston’s pullback maps ⋮ Relative dynamical degrees of correspondences over a field of arbitrary characteristic ⋮ The entropy of holomorphic correspondences: exact computations and rational semigroups ⋮ Equilibrium measures of meromorphic self-maps on non-Kähler manifolds ⋮ Equidistribution problems in complex dynamics of higher dimension ⋮ Dynamical invariants of monomial correspondences ⋮ CANONICAL HEIGHT FUNCTIONS FOR MONOMIAL MAPS ⋮ Exotic periodic points

Cites Work

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• An upper bound for the topological entropy of a rational mapping
• Volume growth and entropy
• Prolongement des courants, positifs, fermes de masse finie
• Entropy of algebraic maps
• Dynamics of polynomial-like mappings
• A phenomenon of concentration of genus.
• Geometry of currents, intersection theory and dynamics of horizontal-like maps
• Distribution of the values of meromorphic transformations and applications
• Regularization of currents and entropy
• Entropy and volume
• Topological Entropy for Noncompact Sets

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