Conservative exact rational maps of the sphere

DOI10.1006/jmaa.1998.6213zbMath0919.28012OpenAlexW2042042868MaRDI QIDQ1283024

Julia A. Barnes

Publication date: 15 August 1999

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1998.6213

zbMATH Keywords

ergodicityendomorphismconservativityconservative and exact rational maps

Mathematics Subject Classification ID

General groups of measure-preserving transformations (28D15) Ergodic theory (37A99)

Related Items (6)

Attractors for graph critical rational maps ⋮ Lebesgue measure theoretic dynamics of rational maps ⋮ Hausdorff dimension and conformal measures of Feigenbaum Julia sets ⋮ Backward stability for polynomial maps with locally connected Julia sets ⋮ On the Lebesgue measure of Li-Yorke pairs for interval maps ⋮ Recurrent critical points and typical limit sets for conformal measures

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Examples and properties of nonexact ergodic shift measures
• One-sided Lebesgue Bernoulli maps of the sphere of degree \(n^2\) and \(2n^2\)
• Normal families
• On the dynamics of rational maps
• Ergodic rational maps with dense critical point forward orbit
• An invariant measure for rational maps
• Positive measure sets of ergodic rational maps
• The dynamics of rational transforms: the topological picture
• Subadditive mean ergodic theorems
• Complex Dynamics and Renormalization (AM-135)
• Exemples de fractions rationnelles ayant une orbite dense sur la sphère de Riemann
• Exact endomorphisms of a Lebesgue space

This page was built for publication: Conservative exact rational maps of the sphere