Hausdorff measures versus equilibrium states of conformal infinite iterated function systems
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Publication:1125662
DOI10.1023/A:1004742822761zbMath0932.28005MaRDI QIDQ1125662
Publication date: 20 December 1999
Published in: Periodica Mathematica Hungarica (Search for Journal in Brave)
densityHausdorff dimensionalmost periodiciterated function systemsIFSconformal and invariant measuresergodic theory of Hölder systems
Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Fractals (28A80) Ergodic theory (37A99) Hausdorff and packing measures (28A78)
Related Items (13)
Duality results for iterated function systems with a general family of branches ⋮ Expanding measures ⋮ Thermodynamical formalism for robust classes of potentials and non-uniformly hyperbolic maps ⋮ Existence, uniqueness and stability of equilibrium states for non-uniformly expanding maps ⋮ The Law of Iterated Logarithm and Equilibrium Measures Versus Hausdorff Measures for Dynamically Semi-regular Meromorphic Functions ⋮ Diophantine approximation and self-conformal measures ⋮ Gibbs states on the symbolic space over an infinite alphabet ⋮ Finer geometric rigidity of limit sets of conformal IFS ⋮ Ergodic theory of parabolic horseshoes ⋮ Asymptotic Counting in Conformal Dynamical Systems ⋮ Recurrence rates for loosely Markov dynamical systems ⋮ Hausdorff dimension of harmonic measure for self-conformal sets ⋮ Typical absolute continuity for classes of dynamically defined measures
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