Mean of the singularities of a Gibbs measure

DOI10.1007/BF02102598zbMath0858.58031MaRDI QIDQ1924053

Dominique Simpelaere

Publication date: 11 March 1997

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

zbMATH Keywords

thermodynamic formalismGibbs measurecorrelation dimension

Mathematics Subject Classification ID

Ergodic theory (37A99) Low-dimensional dynamical systems (37E99)

Related Items (2)

The correlation dimension of the Sierpinski carpet ⋮ A new estimator for information dimension with standard errors and confidence intervals

Cites Work

• Unnamed Item
• Unnamed Item
• Multifractal decomposition of the Sierpiński carpet.
• The metric entropy of diffeomorphisms. I: Characterization of measures satisfying Pesin's entropy formula
• Invariants for smooth conjugacy of hyperbolic dynamical systems. II
• Ergodic theory on compact spaces
• On rigorous mathematical definitions of correlation dimension and generalized spectrum for dimensions
• The dimension spectrum of some dynamical systems
• Dimension spectrum of Axiom A diffeomorphisms. II: Gibbs measures
• The Hausdorff dimension of horseshoes of diffeomorphisms of surfaces
• A relation between Lyapunov exponents, Hausdorff dimension and entropy
• On the multifractal analysis of measures

This page was built for publication: Mean of the singularities of a Gibbs measure