Equidistribution problems in complex dynamics of higher dimension
type: Item
instance of: scholarly article
title: Equidistribution problems in complex dynamics of higher dimension
zbMATH Open document ID: 1386.32019
DOI: 10.1142/S0129167X17500574
author: Tien-Cuong Dinh
author: Nessim Sibony
published in: International Journal of Mathematics
publication date: 2017-08-04T00:00:00Z
full work available at URL: https://arxiv.org/abs/1611.03598
Mathematics Subject Classification ID: 32H50
Mathematics Subject Classification ID: 32U40
Mathematics Subject Classification ID: 37F99
Mathematics Subject Classification ID: 32-02
Mathematics Subject Classification ID: 37-02
zbMATH DE Number: 6756893
zbMATH Keywords: compact Kähler manifolds
zbMATH Keywords: meromorphic self-maps
zbMATH Keywords: equidistribution of periodic points
zbMATH Keywords: equidistribution of subvarieties
MaRDI profile type: Publication
arXiv ID: 1611.03598
cites work: Equidistribution in higher codimension for holomorphic endomorphisms of \(\mathbb {P}^k\)
cites work: Exceptional points of an endomorphism of the projective plane
cites work: Distribution of periodic points of polynomial diffeomorphisms of \(\mathbb{C}^ 2\)
cites work: Polynomial diffeomorphisms of \(\mathbb{C}^ 2\). IV: The measure of maximal entropy and laminar currents
cites work: Dynamical stability and Lyapunov exponents for holomorphic endomorphisms of CP(k)
cites work: Degree growth of meromorphic surface maps
cites work: Lyapunov exponent and the distribution of the periodic points of an endomorphism of \(\mathbb {CP}^k\)
cites work: Two characterizations of equilibrium measure of an endomorphism of \(P^k(\mathbb{C})\)
cites work: Invariant sets under iteration of rational functions
cites work: Dynamics of automorphisms of \(K3\) surfaces
cites work: Hypersurfaces exceptionnelles des endomorphismes de ??(n)
cites work: Q4546492
cites work: Correspondances modulaires et mesures invariantes
cites work: On saddle measures
cites work: On the Lyapunov exponents of meromorphic maps.
cites work: Dynamics of meromorphic maps with small topological degree III: geometric currents and ergodic theory
cites work: Distribution des préimages et des points périodiques d’une correspondance polynomiale
cites work: Sequences of multivalued meromorphic mappings and laminar currents
cites work: Attracting current and equilibrium measure for attractors on \(\mathbb P^k\)
cites work: Equidistribution of periodic points for modular correspondences
cites work: The mixed Hodge-Riemann bilinear relations for compact Kähler manifolds
cites work: Exponential estimates for plurisubharmonic functions
cites work: ON THE DYNAMICAL DEGREES OF MEROMORPHIC MAPS PRESERVING A FIBRATION
cites work: Equidistribution for meromorphic maps with dominant topological degree
cites work: Dynamics of polynomial-like mappings
cites work: Regularization of currents and entropy
cites work: Commutative automorphism groups of a compact Kähler manifold
cites work: Distribution of the values of meromorphic transformations and applications
cites work: Pull-back of currents by holomorphic maps
cites work: Upper bound for the topological entropy of a meromorphic correspondence
cites work: Equidistribution towards the Green current for holomorphic maps
cites work: Super-potentials of positive closed currents, intersection theory and dynamics
cites work: Equidistribution speed for endomorphisms of projective spaces
cites work: Dynamics in several complex variables: endomorphisms of projective spaces and polynomial-like mapping
cites work: Super-potentials for currents on compact Kähler manifolds and dynamics of automorphisms
cites work: On the work of Sarig on countable Markov chains and thermodynamic formalism
cites work: Equidistribution of saddle periodic points for Hénon-type automorphisms of \(\mathbb C^k\)
cites work: Laminar currents and birational dynamics
cites work: Automorphisms of Elliptic K3 surfaces and Salem numbers of maximal degree
cites work: Algebraic versus topological entropy for surfaces over finite fields
cites work: Points périodiques d'applications birationnelles de \({\mathbb P}^2\). (Periodic points for birational mappings of \({\mathbb P}^2\).)
cites work: Brolin's theorem for curves in two complex dimensions.
cites work: Degree growth of monomial maps and McMullen's polytope algebra
cites work: Complex Hénon mappings in \({\mathbb{C}}^ 2\) and Fatou-Bieberbach domains
cites work: Q4310116
cites work: Q4309439
cites work: Q4869193
cites work: Dynamics of \(\mathbb{P}^2\) (examples)
cites work: An invariant measure for rational maps
cites work: Dynamical properties of plane polynomial automorphisms
cites work: Q4027293
cites work: On the entropy of holomorphic maps
cites work: Ergodic properties of rational mappings with large topological degree
cites work: Q3995750
cites work: Holomorphic isometry from a Kähler manifold into a product of complex projective manifolds
cites work: On endomorphisms of Fano manifolds of Picard number one
cites work: Periodic points for area-preserving birational maps of surfaces
cites work: On the complex dynamics of birational surface maps defined over number fields

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cites work: Generic diffeomorphisms with superexponential growth of number of periodic orbits

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cites work: A Skoda-type integrability theorem for singular Monge-Ampére measures

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cites work: Pulling back cohomology classes and dynamical degrees of monomial maps

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cites work: Q3322903

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cites work: Q4442421

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cites work: Extension of germs of holomorphic isometries up to normalizing constants with respect to the Bergman metric

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cites work: Germs of measure-preserving holomorphic maps from bounded symmetric domains to their Cartesian products

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cites work: Green currents for quasi-algebraically stable meromorphic self-maps of \(\mathbb{P}^k\)

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cites work: Pisot Units, Salem Numbers, and Higher Dimensional Projective Manifolds with Primitive Automorphisms of Positive Entropy

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cites work: Explicit examples of rational and Calabi-Yau threefolds with primitive automorphisms of positive entropy

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cites work: Value distribution for sequences of rational mappings and complex dynamics

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cites work: General Fixed Point Formula for an Algebraic Surface and the Theory of Swan Representations for Two-Dimensional Local Rings

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cites work: Q4805126

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cites work: Analyticity of sets associated to Lelong numbers and the extension of closed positive currents

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cites work: Equidistribution speed towards the Green current for endomorphisms of \(\mathbb P^k\)

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cites work: Speed of convergence towards attracting sets for endomorphisms of P^k

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cites work: Q4708080

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cites work: Intersection of positive closed currents of higher bidegree

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cites work: Periodic points of birational transformations on projective surfaces

Equidistribution problems in complex dynamics of higher dimension (cites work)
cites work: Volume growth and entropy

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cites work: Invariant hypersurfaces of endomorphisms of projective varieties

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