Julia sets of hyperbolic rational maps have positive Fourier dimension
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Publication:2698679
DOI10.1007/s00220-022-04496-6OpenAlexW3216163375WikidataQ114230890 ScholiaQ114230890MaRDI QIDQ2698679
Publication date: 24 April 2023
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2112.00701
Smooth dynamical systems: general theory (37Cxx) Classical measure theory (28Axx) Dynamical systems with hyperbolic behavior (37Dxx)
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- Fourier transforms of Gibbs measures for the Gauss map
- Ruelle transfer operators with two complex parameters and applications
- The discretized sum-product and projection theorems
- The thermodynamic formalism for expanding maps
- On decay of correlations in Anosov flows
- A multifractal analysis of equilibrium measures for conformal expanding maps and Moran-like geometric constructions
- Decrease of Fourier coefficients of stationary measures
- Fourier analysis of continued fractions with restricted quotients
- Random recursive construction of Salem sets
- Fourier transform of self-affine measures
- Kleinian Schottky groups, Patterson-Sullivan measures, and Fourier decay
- Discretized sum-product and Fourier decay in \(\mathbb{R}^n\)
- Pointwise normality and Fourier decay for self-conformal measures
- On the Rajchman property for self-similar measures on \(\mathbb{R}^d\)
- Fourier decay of self-similar measures and self-similar sets of uniqueness
- Explicit Salem sets in \(\mathbb{R}^2\)
- Fourier dimension and spectral gaps for hyperbolic surfaces
- On singular monotonic functions whose spectrum has a given Hausdorff dimension
- Spectra of Ruelle transfer operators for Axiom A flows
- Expanding maps on Cantor sets and analytic continuation of zeta functions
- Rational maps with real multipliers
- Asymptotic Counting in Conformal Dynamical Systems
- On the theorem of Jarník and Besicovitch
- Julia Sets are Uniformly Perfect
- Thermodynamic Formalism
- Fourier decay for self-similar measures
- Fourier Analysis and Hausdorff Dimension