Dynamics of polynomial automorphisms of \(\mathbb C^k\)
From MaRDI portal
Publication:1426908
DOI10.1007/BF02384535zbMath1034.37025OpenAlexW1989367176MaRDI QIDQ1426908
Publication date: 15 March 2004
Published in: Arkiv för Matematik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02384535
Ergodicity, mixing, rates of mixing (37A25) Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) 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)
Related Items
Dynamics of semiregular polynomial maps, Fatou sets for rational maps of \(\mathbb{P}^k\), Dynamical degrees of affine-triangular automorphisms of affine spaces, On the regular automorphisms of \(\mathbb{C}^k\)., Julia sets for Fibonacci endomorphisms of ℝ2, Dynamical estimates on a class of quadratic polynomial automorphisms of, The equidistribution of small points for strongly regular pairs of polynomial maps, Courants extrémaux et dynamique complexe, Dynamics of a family of polynomial automorphisms of \(\mathbb {C}^3\), a phase transition, On commuting polynomial automorphisms of \({\mathbb{C}}^{k}\), \(k \geq 3\), Some aspects of shift-like automorphisms of \(\mathbb {C}^k\), ŁS condition for filled Julia sets in \(\mathbb {C}\), Analytic reparametrization of semi-algebraic sets, Green currents for holomorphic automorphisms of compact Kähler manifolds, Pluripotential theory on the support of closed positive currents and applications to dynamics in \(\mathbb{C}^n\), Invariant currents and dynamical Lelong numbers, Dynamics of regular birational maps in \(\mathbb P^k\), Stochastic adding machines based on Bratteli diagrams, Dynamical properties of families of holomorphic mappings, Regularity of dynamical Green’s functions, Quasiplurisubharmonic Green functions, The algebraic entropy of the special linear character automorphisms of a free group on two generators
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On a notion of convexity connected with a method of Carleman
- Entropy of polynomial and rational maps
- Polynomial diffeomorphisms of \(\mathbb{C}^ 2\). III: Ergodicity, exponents and entropy of the equilibrium measure
- Distribution of periodic points of polynomial diffeomorphisms of \(\mathbb{C}^ 2\)
- Green's functions for irregular quadratic polynomial automorphisms of \({\mathbb{C}}^3\)
- Analyticity of sets associated to Lelong numbers and the extension of closed positive currents
- Oka's inequality for currents and applications
- Extending analytic objects
- Dynamique des applications rationnelles des espaces multiprojectifs
- Note on pull-back and Lelong number of currents
