Thermodynamic formalism and singular invariant measures for critical circle maps

DOI10.1023/A:1022271903129zbMath1178.37040OpenAlexW182210587MaRDI QIDQ2655253

Akhtam Dzhalilov

Publication date: 22 January 2010

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

Full work available at URL: https://doi.org/10.1023/a:1022271903129

zbMATH Keywords

thermodynamic formalismcritical pointcircle homeomorphismHölder index

Mathematics Subject Classification ID

Dynamical aspects of measure-preserving transformations (37A05) Dynamical systems involving maps of the circle (37E10) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35)

Related Items (2)

Asymptotic distribution of hitting times for critical maps of the circle ⋮ The thermodynamic formalism and exponents of singularity of invariant measure of circle maps with a single break

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