Attracting current and equilibrium measure for attractors on \(\mathbb P^k\)
From MaRDI portal
Publication:883210
DOI10.1007/BF02930722zbMath1139.37032arXivmath/0602123OpenAlexW2092610237MaRDI QIDQ883210
Publication date: 4 June 2007
Published in: The Journal of Geometric Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0602123
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) Integration on analytic sets and spaces, currents (32C30)
Related Items
Blenders near polynomial product maps of \(\mathbb{C}^2\) ⋮ Typical dynamics of plane rational maps with equal degrees ⋮ Invariant elliptic curves as attractors in the projective plane ⋮ Attracting currents and equilibrium measures for quasi-attractors of \(\mathbb {P}^k\) ⋮ On chain recurrence classes of endomorphisms of ℙ^{𝕜} ⋮ Super-potentials of positive closed currents, intersection theory and dynamics ⋮ Large entropy measures for endomorphisms of \(\mathbb{CP}^k\) ⋮ On the dimension of invariant measures of endomorphisms of \({\mathbb{C}\mathbb{P}^k}\) ⋮ Dimension of ergodic measures and currents on ⋮ Codimension-one attracting sets in ⋮ Fatou directions along the Julia set for endomorphisms of \({\mathbb{CK}}^k\) ⋮ On the size of attractors in \(\mathbb P^k\) ⋮ Hyberbolic saddle measures and laminarity for holomorphic endomorphisms of P^2C ⋮ The bifurcation measure has maximal entropy ⋮ Equidistribution problems in complex dynamics of higher dimension ⋮ Dynamical stability and Lyapunov exponents for holomorphic endomorphisms of CP(k) ⋮ A Distortion Theorem for iterated inverse branches of holomorphic endomorphisms of Pk
Cites Work
- 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
- An upper bound for the topological entropy of a rational mapping
- Volume growth and entropy
- Polynomial diffeomorphisms of \(\mathbb{C}^ 2\). III: Ergodicity, exponents and entropy of the equilibrium measure
- Dynamics of polynomial-like mappings
- Lyapunov exponent and the distribution of the periodic points of an endomorphism of \(\mathbb {CP}^k\)
- A characterization of holomorphic chains
- On the entropy of holomorphic maps
- Oka's inequality for currents and applications
- Dynamics semi-conjugated to a subshift for some polynomial mappings in \(\mathbb C^2\)
- A phenomenon of concentration of genus.
- On saddle measures
- Geometry of currents, intersection theory and dynamics of horizontal-like maps
- Distribution of the values of meromorphic transformations and applications
- Laminar currents and birational dynamics
- On the dynamics near infinity of some polynomial mappings in \(\mathbb C^2\)
- Sequences of multivalued meromorphic mappings and laminar currents
- Regularization of currents and entropy
- Extending analytic objects
- 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
- Dynamics of regular polynomial endomorphisms of C k [superscript]
- Topological Entropy for Noncompact Sets
- Elliptic Curves as Attractors in ℙ2Part 1: Dynamics
