Recent progress on Bernoulli convolutions

DOI10.4171/176-1/38zbMath1403.28010arXiv1608.04210OpenAlexW4212896099MaRDI QIDQ1620882

Péter Pál Varjú

Publication date: 14 November 2018

Full work available at URL: https://arxiv.org/abs/1608.04210

Mathematics Subject Classification ID

Fractals (28A80) Normal numbers, radix expansions, Pisot numbers, Salem numbers, good lattice points, etc. (11K16) Hausdorff and packing measures (28A78)

Related Items (19)

Characterization of random variables with stationary digits ⋮ Purity results for some arithmetically defined measures ⋮ Optimal transportation and stationary measures for iterated function systems ⋮ Spectra of symmetric self-similar measures as multipliers in \(L^p\) ⋮ Self-similarity and spectral theory: on the spectrum of substitutions ⋮ Multifractal analysis of measures arising from random substitutions ⋮ Estimates on the dimension of self‐similar measures with overlaps ⋮ Singular distribution functions for random variables with stationary digits ⋮ Self-similar sets and measures on the line ⋮ Absolute continuity of Bernoulli convolutions for algebraic parameters ⋮ Unnamed Item ⋮ Singular stationary measures for random piecewise affine interval homeomorphisms ⋮ A Lower Bound for the Dimension of Bernoulli Convolutions ⋮ Random walks on \(\mathbb{Z}\) with exponentially increasing step length and Bernoulli convolutions ⋮ Exceptional digit frequencies and expansions in non-integer bases ⋮ On the dimension of Bernoulli convolutions for all transcendental parameters ⋮ On the dimension of Bernoulli convolutions ⋮ Quantum repeated interactions and the chaos game ⋮ Hausdorff and Fourier dimension of graph of continuous additive processes

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