Dynamical multifractal zeta-functions and fine multifractal spectra of graph-directed self-conformal constructions

DOI10.1017/etds.2014.140zbMath1366.37013arXiv1411.5530OpenAlexW3100721922MaRDI QIDQ2827503

L. Olsen, V. Mijović

Publication date: 20 October 2016

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.5530

zbMATH Keywords

pressurelarge deviationHausdorff dimensionzeta functionmultifractalBowen's formulagraph-directed self-conformal set

Mathematics Subject Classification ID

Ergodic theorems, spectral theory, Markov operators (37A30) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Hausdorff and packing measures (28A78) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30) Dimension theory of smooth dynamical systems (37C45)

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The conditional variational principle for maps with the pseudo-orbit tracing property ⋮ Book review of: M. Lapidus et al., Fractal zeta functions and fractal drums. Higher-dimensional theory of complex dimensions

Cites Work

• Unnamed Item
• Unnamed Item
• Thermodynamic formalism and applications to dimension theory
• Ergodic limits on the conformal repellers
• An analogue of the prime number theorem for closed orbits of Axiom A flows
• Fractal strings and multifractal zeta functions
• Large deviation principles for stationary processes
• Hausdorff dimension of quasi-circles
• Self-conformal multifractal measures
• Mathematical theory of nonequilibrium steady states. On the frontier of probability and dynamical systems.
• Multifractal analysis of divergence points of deformed measure theoretical Birkhoff averages.
• On the distribution of long-term time averages on symbolic space
• Relative multifractal analysis
• Multifractal analysis of divergence points of deformed measure theoretical Birkhoff averages. II: non-linearity, divergence points and Banach space valued spectra
• On periodic points
• Multifractal and higher-dimensional zeta functions
• RECURRENCE, DIMENSION AND ENTROPY
• Multifractal analysis of Birkhoff averages on ‘self-affine’ symbolic spaces
• Multifractal Decompositions of Digraph Recursive Fractals
• Dynamical Zeta Functions for Piecewise Monotone Maps of the Interval
• Multifractal analysis in symbolic dynamics and distribution of pointwise dimension forg-measures
• Random Self-Similar Multifractals
• A multifractal zeta function for Gibbs measures supported on cookie-cutter sets
• Towards zeta functions and complex dimensions of multifractals
• Fractal Geometry, Complex Dimensions and Zeta Functions
• Asymptotic probabilities and differential equations

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