Dynamics of quadratic polynomial mappings of \(\mathbb C^2\)

DOI10.1307/mmj/1100623417zbMath1073.37053OpenAlexW2041859836MaRDI QIDQ1766488

Vincent Guedj

Publication date: 7 March 2005

Published in: Michigan Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1307/mmj/1100623417

zbMATH Keywords

invariant measurequadratic polynomial mappings

Mathematics Subject Classification ID

Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) 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 (9)

Dynamical degrees of affine-triangular automorphisms of affine spaces ⋮ Julia sets for Fibonacci endomorphisms of ℝ² ⋮ A degenerate Newton's map in two complex variables: linking with currents ⋮ Zariski density of points with maximal arithmetic degree ⋮ Dynamical compactifications of \(\mathbb{C}^2\) ⋮ Examples of dynamical degree equals arithmetic degree ⋮ Filled Julia set of some class of Hénon-like maps ⋮ A classification of degree \(2\) semi-stable rational maps \(\mathbb{P}^2\rightarrow\mathbb{P}^2\) with large finite dynamical automorphism group ⋮ On the Fibonacci complex dynamical systems

Cites Work

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