Diophantine approximation by orbits of expanding Markov maps
From MaRDI portal
Publication:4928741
DOI10.1017/S0143385711001039zbMath1296.37011arXiv1111.1081OpenAlexW1980243950MaRDI QIDQ4928741
Publication date: 18 June 2013
Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1111.1081
Ergodic theorems, spectral theory, Markov operators (37A30) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Dynamical systems involving maps of the interval (37E05) Dimension theory of smooth dynamical systems (37C45)
Related Items
Dynamically defined subsets of generic self-affine sets*, On the intersection of dynamical covering sets with fractals, Random covering sets in metric space with exponentially mixing property, Metric Diophantine approximation on the middle-third Cantor set, Dimensions of random covering sets in Riemann manifolds, Random cutout sets with spatially inhomogeneous intensities, A Bridge Between Geometric Measure Theory and Signal Processing: Multifractal Analysis, Uniform approximation problems of expanding Markov maps, Approximation orders of real numbers by \(\beta\)-expansions, Random Covering Sets, Hitting Probabilities and Variants of the Covering Problem, A Survey on the Dimension Theory in Dynamical Diophantine Approximation, On shrinking targets for piecewise expanding interval maps, Hausdorff dimension of affine random covering sets in torus, Diophantine approximation of the orbits in topological dynamical systems, Dynamical covering problems on the triadic Cantor set, Dimensions of Random Covering Sets, Inhomogeneous potentials, Hausdorff dimension and shrinking targets, Shrinking targets in parametrised families, Quantitative recurrence properties in conformal iterated function systems
Cites Work
- Unnamed Item
- Unnamed Item
- Invariant measures and the set of exceptions to Littlewood's conjecture
- Flows on homogeneous spaces and Diophantine approximation on manifolds
- On fractal measures and Diophantine approximation
- The dimension spectrum of some dynamical systems
- The ergodic theory of shrinking targets
- Dimension spectrum of Axiom A diffeomorphisms. II: Gibbs measures
- Heterogeneous ubiquitous systems in \(\mathbb R^d\) and Hausdorff dimension
- A mass transference principle and the Duffin-Schaeffer conjecture for Hausdorff measures
- Dimension and hitting time in rapidly mixing systems
- Comparing multifractal formalisms: the neighboring boxes condition
- APPROXIMATION BY ALGEBRAIC INTEGERS AND HAUSDORFF DIMENSION
- Ubiquity and large intersections properties under digit frequencies constraints
- ON SHRINKING TARGETS FOR ℤ m ACTIONS ON TORI
- The shrinking target property of irrational rotations
- The singularity spectrumf(α) for cookie-cutters
- Entropy and data compression schemes
- Conformal measure and decay of correlation for covering weighted systems
- A NOTE ON INHOMOGENEOUS DIOPHANTINE APPROXIMATION
- The Shrinking Target Problem for Matrix Transformations of Tori
- Sets of Fractional Dimensions (IV): On Rational Approximation to Real Numbers
- On a general concept of multifractality: Multifractal spectra for dimensions, entropies, and Lyapunov exponents. Multifractal rigidity
- The multifractal analysis of Gibbs measures: Motivation, mathematical foundation, and examples
- On the multifractal analysis of measures
- Equilibrium states and the ergodic theory of Anosov diffeomorphisms