scientific article; zbMATH DE number 1908328
From MaRDI portal
Publication:4805126
zbMath1020.37026MaRDI QIDQ4805126
Publication date: 11 May 2003
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
holomorphic dynamicspluripotential theoryFatou-Bieberbach domainsinvariant currentsdynamic hyperbolicityJulia sets in \(\mathbb{P}^k\)
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) Iteration of holomorphic maps, fixed points of holomorphic maps and related problems for several complex variables (32H50) General pluripotential theory (32U15)
Related Items (only showing first 100 items - show all)
Lacunary series, resonances, and automorphisms of \({\mathbb{C}^2}\) with a round Siegel domain ⋮ On dynamics of asymptotically minimal polynomials ⋮ Self-similar groups and holomorphic dynamics: renormalization, integrability, and spectrum ⋮ Complex geometry and dynamical systems. Abstracts from the workshop held September 4--10, 2022 ⋮ Regularity of the equilibrium measure for meromorphic correspondences ⋮ Every complex Hénon map is exponentially mixing of all orders and satisfies the CLT ⋮ Sur les endomorphismes polynomiaux permutables de \({\mathbb C}^2\). (On the commuting polynomial endomorphisms of \({\mathbb C}^2\)) ⋮ The Tits alternative for \(\text{Aut}[\mathbb C^2\)] ⋮ Invariant measure and Lyapunov exponents for birational maps of \(\mathbb P^2\) ⋮ Symmetrization of rational maps: Arithmetic properties and families of Lattès maps of ℙ^{𝕜} ⋮ Lyapunov exponents, bifurcation currents and laminations in bifurcation loci ⋮ Fatou sets for rational maps of \(\mathbb{P}^k\) ⋮ Distribution des préimages et des points périodiques d’une correspondance polynomiale ⋮ Some dynamical properties of pseudo-automorphisms in dimension 3 ⋮ Rescaling methods in complex analysis ⋮ Equidistribution of zeros of random holomorphic sections for moderate measures ⋮ Almost sure invariance principle for non-autonomous holomorphic dynamics in ℙ^{𝕜} ⋮ Dynamical degrees of affine-triangular automorphisms of affine spaces ⋮ Exponential mixing property for Hénon–Sibony maps of ⋮ Algebraic webs invariant under endomorphisms ⋮ On the regular automorphisms of \(\mathbb{C}^k\). ⋮ Rational surface maps with invariant meromorphic two-forms ⋮ Bernoulli coding map and almost sure invariance principle for endomorphisms of \(\mathbb P^k\) ⋮ Invariant elliptic curves as attractors in the projective plane ⋮ Pull-back of currents by holomorphic maps ⋮ Equidistribution of saddle periodic points for Hénon-type automorphisms of \(\mathbb C^k\) ⋮ Local regularity of super-potentials and equidistribution of positive closed currents on \({\mathbb {P}}^k\) ⋮ Periodic points of post-critically algebraic holomorphic endomorphisms ⋮ Structure of Julia sets for post-critically finite endomorphisms on \(\mathbb{P}^2\) ⋮ Dynamics of low-degree rational inner skew-products on $\mathbb{T}^2$ ⋮ The dynamical Manin-Mumford problem for plane polynomial automorphisms ⋮ An upper bound for the height for regular affine automorphisms of \({\mathbb{A}^n}\). A height bound for regular affine automorphisms ⋮ Lelong numbers of bidegree \((1, 1)\) currents on multiprojective spaces ⋮ Dynamics of holomorphic correspondences on Riemann surfaces ⋮ Dynamics of polynomial-like mappings ⋮ Ascoli-Arzelà type theorem for rational iterations on the complex projective plane ⋮ Green currents for meromorphic maps of compact Kähler manifolds ⋮ Unnamed Item ⋮ The equidistribution of small points for strongly regular pairs of polynomial maps ⋮ Limit currents and value distribution of holomorphic maps ⋮ Dynamical compactifications of \(\mathbb{C}^2\) ⋮ The Mandelbrot set is the shadow of a Julia set ⋮ On the regularity of the Green current for semi-extremal endomorphisms of \(\mathbb{P}^2\) ⋮ Upper bound for the topological entropy of a meromorphic correspondence ⋮ Stabilization of monomial maps ⋮ Examples of dynamical degree equals arithmetic degree ⋮ Characterization of Dynamics of a Class of Polynomial Automorphisms in ℂn ⋮ The supports of higher bifurcation currents ⋮ Filtrations, hyperbolicity, and dimension for polynomial automorphisms of \(\mathbb C^n\) ⋮ Courants extrémaux et dynamique complexe ⋮ On the work of Sarig on countable Markov chains and thermodynamic formalism ⋮ DEGENERATION OF ENDOMORPHISMS OF THE COMPLEX PROJECTIVE SPACE IN THE HYBRID SPACE ⋮ A dichotomy for Fatou components of polynomial skew products ⋮ The weighted Monge-Ampère energy of quasiplurisubharmonic functions ⋮ Dimension of ergodic measures and currents on ⋮ Equidistribution of preimages over nonarchimedean fields for maps of good reduction ⋮ Stabilization of monomial maps in higher codimension ⋮ Approximation of non-archimedean Lyapunov exponents and applications over global fields ⋮ Dynamics of a family of polynomial automorphisms of \(\mathbb {C}^3\), a phase transition ⋮ Generalized Hénon mappings and foliation by injective Brody curves ⋮ Commuting pairs of endomorphisms of ⋮ Dynamics of horizontal-like maps in higher dimension ⋮ On the complex dynamics of birational surface maps defined over number fields ⋮ Pull-back of currents by meromorphic maps ⋮ Normalization of bundle holomorphic contractions and applications to dynamics ⋮ Rigidity theorems for Hénon maps—II ⋮ Degree growth of meromorphic surface maps ⋮ A Landau's theorem in several complex variables ⋮ Lee-Yang zeros for the DHL and 2D rational dynamics. I: Foliation of the physical cylinder ⋮ Regularization of currents and entropy ⋮ Super-potentials for currents on compact Kähler manifolds and dynamics of automorphisms ⋮ Fatou directions along the Julia set for endomorphisms of \({\mathbb{CK}}^k\) ⋮ Constraints on automorphism groups of higher dimensional manifolds ⋮ Pluripolar dynamic currents ⋮ Corrigendum to ``Constraints on automorphism groups of higher dimensional manifolds ⋮ Green currents for holomorphic automorphisms of compact Kähler manifolds ⋮ Dynamics of quadratic polynomial mappings of \(\mathbb C^2\) ⋮ Equidistribution speed for endomorphisms of projective spaces ⋮ Geometry of currents, intersection theory and dynamics of horizontal-like maps ⋮ On the degree growth of birational mappings in higher dimension ⋮ Invariant currents and dynamical Lelong numbers ⋮ Decay of volumes under iteration of meromorphic mappings. ⋮ On regular polynomial endomorphisms of \(\mathbb C^2\) without bounded critical orbits ⋮ Eigenvaluations ⋮ Dynamics of regular birational maps in \(\mathbb P^k\) ⋮ Mandelbrot-like sets in dynamical systems with no critical points ⋮ Equidistribution in higher codimension for holomorphic endomorphisms of $\mathbb {P}^k$ ⋮ Dynamical properties of families of holomorphic mappings ⋮ Bers and Hénon, Painlevé and Schrödinger ⋮ A generalization of the Kobayashi-Ochiai theorem ⋮ Exponential decay of correlations for generic regular birational maps of \(\mathbb P^k\) ⋮ Brody curves in complicated sets ⋮ Note on pull-back and Lelong number of currents ⋮ Equidistribution of non-pluripolar products associated with quasi-plurisubharmonic functions of finite energy ⋮ Holomorphic maps on projective spaces and continuations of Fatou maps ⋮ Singular Kähler-Einstein metrics ⋮ Equilibrium measures of meromorphic self-maps on non-Kähler manifolds ⋮ Lee-Yang-Fisher zeros for the DHL and 2D rational dynamics. II: Global pluripotential interpretation ⋮ Equidistribution problems in complex dynamics of higher dimension ⋮ Regularity of dynamical Green’s functions
This page was built for publication:
