The Hölder property of singular invariant measures of circle homeomorphisms with single corners

DOI10.1007/BF02557202zbMath0993.37021MaRDI QIDQ5930800

Akhtam Dzhalilov

Publication date: 26 September 2002

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

singularityinvariant measurecornercircle homeomorphismHölder property

Mathematics Subject Classification ID

Ergodicity, mixing, rates of mixing (37A25) Dynamical systems involving maps of the circle (37E10)

Related Items (1)

The thermodynamic formalism and exponents of singularity of invariant measure of circle maps with a single break

Cites Work

• A new proof of M. Herman's theorem
• On an invariant measure for homeomorphisms of a circle with a point of break
• Singular measures in circle dynamics
• Smoothness of conjugacies of diffeomorphisms of the circle with rotations
• Fractal measures and their singularities: The characterization of strange sets
• Smooth conjugacy and renormalisation for diffeomorphisms of the circle

This page was built for publication: The Hölder property of singular invariant measures of circle homeomorphisms with single corners