Growth of degree for iterates of rational maps in several variables

DOI10.1512/iumj.2000.49.1813zbMath0987.37033OpenAlexW1989503144MaRDI QIDQ4761513

Araceli Bonifant, John-Erik Fornaess

Publication date: 20 February 2001

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/efe8b374e1c18bbf57d4ad2125c4e415e43145eb

zbMATH Keywords

rational mapsgrowth of algebraic degree

Mathematics Subject Classification ID

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) Meromorphic mappings in several complex variables (32H04)

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Dynamical degrees of affine-triangular automorphisms of affine spaces ⋮ Birational maps preserving the contact structure on \(\mathbb{P}^3_\mathbb{C}\) ⋮ A degenerate Newton's map in two complex variables: linking with currents ⋮ Birational maps with transcendental dynamical degree ⋮ Dynamical compactifications of \(\mathbb{C}^2\) ⋮ Degree growth of meromorphic surface maps ⋮ Invariant currents and dynamical Lelong numbers ⋮ Rational and Iterated Maps, Degeneracy Loci, and the Generalized Riemann-Hurwitz Formula ⋮ The algebraic entropy of the special linear character automorphisms of a free group on two generators

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