Dynamical stability and Lyapunov exponents for holomorphic endomorphisms of CP(k)
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Publication:4642720
zbMath1454.32011arXiv1403.7603MaRDI QIDQ4642720
Christophe Dupont, Fabrizio Bianchi, François Berteloot
Publication date: 25 May 2018
Full work available at URL: https://arxiv.org/abs/1403.7603
Small divisors, rotation domains and linearization in holomorphic dynamics (37F50) Random dynamical systems aspects of multiplicative ergodic theory, Lyapunov exponents (37H15) Iteration of holomorphic maps, fixed points of holomorphic maps and related problems for several complex variables (32H50) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Currents (32U40)
Related Items (19)
Blenders near polynomial product maps of \(\mathbb{C}^2\) ⋮ Higher bifurcations for polynomial skew products ⋮ Stability and bifurcations in projective holomorphic dynamics ⋮ On chain recurrence classes of endomorphisms of ℙ^{𝕜} ⋮ Repulsive cycles bifurcate in chains ⋮ Dynamically improper hypersurfaces for endomorphisms of projective space ⋮ Misiurewicz parameters and dynamical stability of polynomial-like maps of large topological degree ⋮ Bifurcations in the elementary Desboves family ⋮ Dynamical pairs with an absolutely continuous bifurcation measure ⋮ Geometric methods in holomorphic dynamics ⋮ Hyperbolicity and Bifurcations in holomorphic families of polynomial skew products ⋮ Ramification current, post-critical normality and stability of holomorphic endomorphisms of $\mathbb P^k$ ⋮ Dynamics on ℙ1: preperiodic points and pairwise stability ⋮ Non-density of stability for holomorphic mappings on \(\mathbb{P}^k\) ⋮ Equidistribution problems in complex dynamics of higher dimension ⋮ Lattès maps and the interior of the bifurcation locus ⋮ A Distortion Theorem for iterated inverse branches of holomorphic endomorphisms of Pk ⋮ Dynamics of fibered endomorphisms of CP(k) ⋮ Symmetrization of rational maps: Arithmetic properties and families of Lattès maps of ℙ^{𝕜}
Cites Work
- Lyapunov exponents, bifurcation currents and laminations in bifurcation loci
- Pesin's formula and meromorphic maps
- Attracting current and equilibrium measure for attractors on \(\mathbb P^k\)
- Normalization of bundle holomorphic contractions and applications to dynamics
- Hausdorff dimension of harmonic measure on the boundary of an attractive basin for a holomorphic map
- Critical orbits of holomorphic maps on projective spaces
- Infinitely many periodic attractors for holomorphic maps of 2 variables
- Dynamics of rational maps: Lyapunov exponents, bifurcations, and capacity
- Lattès examples and weakly spherical domains of \(\mathbb C^n\)
- Dynamics of polynomial-like mappings
- Lyapunov exponent and the distribution of the periodic points of an endomorphism of \(\mathbb {CP}^k\)
- On Lattès mappings of \({\mathbb P}^k\)
- Stability and bifurcations for dissipative polynomial automorphisms of \(\mathbb C^2\)
- A characterization of Lattès endomorphisms by their Green measure
- A phenomenon of concentration of genus.
- Geometry of currents, intersection theory and dynamics of horizontal-like maps
- Sequences of multivalued meromorphic mappings and laminar currents
- Une caractérisation géométrique des exemples de Lattès de $\mathbb{P}^k$
- Bifurcation Currents in Holomorphic Families of Rational Maps
- On stability and hyperbolicity for polynomial automorphisms of C^2
- On the dynamics of rational maps
- Dynamics of regular polynomial endomorphisms of C k [superscript]
- Dynamics in several complex variables: endomorphisms of projective spaces and polynomial-like mapping
- Bifurcation currents in holomorphic dynamics on
- Two characterizations of equilibrium measure of an endomorphism of \(P^k(\mathbb{C})\)
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- Unnamed Item
- Unnamed Item
- Unnamed Item
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