Ergodic properties of fibered rational maps

DOI10.1007/BF02384321zbMath1021.37019OpenAlexW1979511225MaRDI QIDQ1810339

Mattias Jonsson

Publication date: 16 June 2003

Published in: Arkiv för Matematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02384321

zbMATH Keywords

topological entropyholomorphic mappingsergodic propertiescomplex projetive planefibered rational mapsmeasure of maximal relative entropy

Mathematics Subject Classification ID

Ergodicity, mixing, rates of mixing (37A25) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10)

Related Items (12)

A non-laminar dynamical Green current ⋮ Interaction cohomology of forward or backward self-similar systems ⋮ Algebraic webs invariant under endomorphisms ⋮ Robust non-hyperbolic fibred quadratic polynomial dynamics ⋮ ENDOMORPHISMS OF THE PLANE PRESERVING A PENCIL OF CURVES ⋮ Pseudo-random endomorphisms in projective spaces. II ⋮ Sur la persistance des courbes invariantes pour les dynamiques holomorphes fibrées lisses ⋮ Dynamical properties of families of holomorphic mappings ⋮ Dynamics of postcritically bounded polynomial semigroups III: classification of semi-hyperbolic semigroups and random Julia sets which are Jordan curves but not quasicircles ⋮ Nevanlinna theoretical exceptional sets of rational towers and semigroups ⋮ On the persistence of invariant curves for fibered holomorphic transformations ⋮ Topological entropy on saddle sets in \(\mathbb{P}^2\)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Dynamics of polynomial skew products on \(\mathbb{C}^2\)
• Fatou sets in complex dynamics on projective spaces
• Invariant sets under iteration of rational functions
• An invariant measure for rational maps
• On the uniqueness of the maximizing measure for rational maps
• A Relativised Variational Principle for Continuous Transformations
• JULIA SETS OF SKEW PRODUCTS IN C2
• Hyperbolicité des polynômes fibrés
• 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

This page was built for publication: Ergodic properties of fibered rational maps