Hyperbolic maps on \(\mathbb{P}^2\)

DOI10.1007/s002080050189zbMath0928.37006OpenAlexW2034918942MaRDI QIDQ1392479

Nessim Sibony, John-Erik Fornaess

Publication date: 16 January 2000

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002080050189

zbMATH Keywords

Julia setsstable setsFatou setshyperbolic mapsnonwandering setsinvariant currents and measuresunstable sets

Mathematics Subject Classification ID

Expanding holomorphic maps; hyperbolicity; structural stability of holomorphic dynamical systems (37F15) Small divisors, rotation domains and linearization in holomorphic dynamics (37F50) Iteration of holomorphic maps, fixed points of holomorphic maps and related problems for several complex variables (32H50)

Related Items (14)

Equilibrium measures on saddle sets of holomorphic maps on \(\mathbb{P }^2\) ⋮ INVERSE TOPOLOGICAL PRESSURE WITH APPLICATIONS TO HOLOMORPHIC DYNAMICS OF SEVERAL COMPLEX VARIABLES ⋮ Structure of Julia sets for post-critically finite endomorphisms on \(\mathbb{P}^2\) ⋮ On the regularity of the Green current for semi-extremal endomorphisms of \(\mathbb{P}^2\) ⋮ Axiom A polynomial skew products of 2 and their postcritical sets ⋮ Metric properties of some fractal sets and applications of inverse pressure ⋮ Fatou directions along the Julia set for endomorphisms of \({\mathbb{CK}}^k\) ⋮ Superstable manifolds of invariant circles and codimension-one Böttcher functions ⋮ On saddle measures ⋮ Filled Julia set of some class of Hénon-like maps ⋮ Hyberbolic saddle measures and laminarity for holomorphic endomorphisms of P^2C ⋮ Topological entropy on saddle sets in \(\mathbb{P}^2\) ⋮ Postcritical sets and saddle basic sets for Axiom A polynomial skew products on ⋮ On the dynamics near infinity of some polynomial mappings in \(\mathbb C^2\)

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