Sequences of multivalued meromorphic mappings and laminar currents

DOI10.1007/BF02922193zbMath1085.37039arXivmath/0309421OpenAlexW2074004788MaRDI QIDQ2577087

Tien-Cuong Dinh

Publication date: 3 January 2006

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0309421

zbMATH Keywords

attractorsinvariant measurelaminar currentscompact Kählerian varietiesdistribution of repelling fixed-pointsequidistributed measureequidistribution of preimagesexceptional ensemblesinverse bran\-chesiterations of meromorphic multivalued mappinglaminarity of Green currentsmeromorphic transformssequences of meromorphic multi-valued mappingstissued (geometric) current

Mathematics Subject Classification ID

Real submanifolds in complex manifolds (32V40) Iteration of holomorphic maps, fixed points of holomorphic maps and related problems for several complex variables (32H50) Meromorphic mappings in several complex variables (32H04) Currents (32U40) Integration on analytic sets and spaces, currents (32C30) Dynamical systems involving relations and correspondences in one complex variable (37F05)

Related Items (26)

On the set of divisors with zero geometric defect ⋮ Distribution des préimages et des points périodiques d’une correspondance polynomiale ⋮ Super-potentials, densities of currents and number of periodic points for holomorphic maps ⋮ Equidistribution of saddle periodic points for Hénon-type automorphisms of \(\mathbb C^k\) ⋮ Attracting current and equilibrium measure for attractors on \(\mathbb P^k\) ⋮ Zero entropy automorphisms of compact Kähler manifolds and dynamical filtrations ⋮ Dynamics of automorphisms on compact Kähler manifolds ⋮ Geometric methods in holomorphic dynamics ⋮ Holomorphic correspondences related to finitely generated rational semigroups ⋮ Eigenvalues and dynamical degrees of self-maps on abelian varieties ⋮ Bounds on the dynamical degrees of automorphisms of 3-dimensional Kählerian manifolds ⋮ The supports of higher bifurcation currents ⋮ On the work of Sarig on countable Markov chains and thermodynamic formalism ⋮ Density of positive closed currents, a theory of non-generic intersections ⋮ Dynamics of horizontal-like maps in higher dimension ⋮ Super-potentials for currents on compact Kähler manifolds and dynamics of automorphisms ⋮ Fatou directions along the Julia set for endomorphisms of \({\mathbb{CK}}^k\) ⋮ On saddle measures ⋮ Categorical polynomial entropy ⋮ Lee-Yang-Fisher zeros for the DHL and 2D rational dynamics. II: Global pluripotential interpretation ⋮ Equidistribution problems in complex dynamics of higher dimension ⋮ 𝑛-dimensional projective varieties with the action of an abelian group of rank 𝑛-1 ⋮ Nevanlinna theoretical exceptional sets of rational towers and semigroups ⋮ COHOMOLOGICALLY HYPERBOLIC ENDOMORPHISMS OF COMPLEX MANIFOLDS ⋮ Dynamical stability and Lyapunov exponents for holomorphic endomorphisms of CP(k) ⋮ Bornes sur les degrés dynamiques d'automorphismes de variétés kähleriennes: généralités et analyse du cas de la dimension $3$

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Polynomial diffeomorphisms of \(\mathbb{C}^ 2\). IV: The measure of maximal entropy and laminar currents
• Ergodic properties of rational mappings with large topological degree
• Prolongement des courants, positifs, fermes de masse finie
• Laminar currents in \(\mathbb P^2\)
• Dynamics of polynomial-like mappings
• The intersection of laminar currents
• Lyapunov exponent and the distribution of the periodic points of an endomorphism of \(\mathbb {CP}^k\)
• Analyticity of sets associated to Lelong numbers and the extension of closed positive currents
• Polynomial convexity, rational convexity, and currents
• Dynamics of bimeromorphic maps of surfaces
• Dynamics on K3 surfaces: Salem numbers and Siegel disks
• An invariant measure for rational maps
• Value distribution for sequences of rational mappings and complex dynamics
• A nonalgebraic attractor in $\mathbf{P}^{2}$
• Green currents for holomorphic automorphisms of compact Kähler manifolds
• Sur la laminarité de certains courants
• Distribution des préimages et des points périodiques d’une correspondance polynomiale
• Two characterizations of equilibrium measure of an endomorphism of \(P^k(\mathbb{C})\)
• Dynamics of automorphisms of \(K3\) surfaces

This page was built for publication: Sequences of multivalued meromorphic mappings and laminar currents