Multifractal structure of two-dimensional horseshoes

DOI10.1007/s00220-006-0031-3zbMath1113.37012OpenAlexW2023024664MaRDI QIDQ881632

Luis Barreira, Claudia Valls

Publication date: 31 May 2007

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00220-006-0031-3

zbMATH Keywords

Hausdorff dimensionlevel setshyperbolic setsBirkhoff averagessurface diffeomorphismSmale horseshoesdimension spectra

Mathematics Subject Classification ID

Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Dynamical systems with hyperbolic orbits and sets (37D05) Symbolic dynamics (37B10) Dimension theory of smooth dynamical systems (37C45) Morse-Smale systems (37D15)

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Cites Work

• Unnamed Item
• Higher-dimensional multifractal analysis
• Hausdorff dimension for horseshoes
• Equilibrium states and the ergodic theory of Anosov diffeomorphisms