Topological entropy on saddle sets in \(\mathbb{P}^2\)

DOI10.1215/S0012-7094-00-10324-9zbMath0983.37054OpenAlexW1977405179MaRDI QIDQ1572889

Mattias Jonsson, Jeffrey Diller

Publication date: 30 January 2001

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

Full work available at URL: https://doi.org/10.1215/s0012-7094-00-10324-9

zbMATH Keywords

topological entropyholomorphic dynamicssaddle set

Mathematics Subject Classification ID

Expanding holomorphic maps; hyperbolicity; structural stability of holomorphic dynamical systems (37F15) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Topological entropy (37B40) Iteration of holomorphic maps, fixed points of holomorphic maps and related problems for several complex variables (32H50)

Related Items (2)

Equilibrium measures on saddle sets of holomorphic maps on \(\mathbb{P }^2\) ⋮ Axiom A polynomial skew products of 2 and their postcritical sets

Cites Work

• The Dirichlet problem for a complex Monge-Ampère equation
• Currents, flows and diffeomorphisms
• Unique ergodicity for horocycle foliations
• Hyperbolic maps on \(\mathbb{P}^2\)
• Ergodic properties of fibered rational maps
• Fatou sets in complex dynamics on projective spaces
• Polynomial diffeomorphisms of \({\mathbb C}^2\): Currents, equilibrium measure and hyperbolicity
• JULIA SETS OF SKEW PRODUCTS IN C2
• A nonalgebraic attractor in $\mathbf{P}^{2}$
• Hyperbolicité des polynômes fibrés
• Ergodic Attractors
• Socioemotional Development and Health from Adolescence to Adulthood, L.Pulkkinen, J.Kaprio, R.J.Rose (Eds.). Cambridge University Press, New York (2006). 439pp., $34.99, hardcover, ISBN: 0‐521‐84631‐5
• Entropy for Group Endomorphisms and Homogeneous Spaces
• Equilibrium states and the ergodic theory of Anosov diffeomorphisms
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Topological entropy on saddle sets in \(\mathbb{P}^2\)