A Lower Bound for the Dimension of Bernoulli Convolutions
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Publication:4646698
DOI10.1080/10586458.2017.1301841zbMath1405.28009arXiv1609.02131OpenAlexW2594953169MaRDI QIDQ4646698
Publication date: 14 January 2019
Published in: Experimental Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1609.02131
Fractals (28A80) PV-numbers and generalizations; other special algebraic numbers; Mahler measure (11R06)
Related Items (4)
Local dimensions of overlapping self-similar measures ⋮ Estimates on the dimension of self‐similar measures with overlaps ⋮ Uniform lower bounds on the dimension of Bernoulli convolutions ⋮ Computing Garsia entropy for Bernoulli convolutions with algebraic parameters *
Cites Work
- Unnamed Item
- On self-similar sets with overlaps and inverse theorems for entropy
- Recent progress on Bernoulli convolutions
- Combinatorial and arithmetical properties of linear numeration systems
- On the random series \(\sum\pm\lambda^ n\) (an Erdös problem)
- Entropy of Bernoulli convolutions and uniform exponential growth for linear groups
- On the dimension of Bernoulli convolutions
- Entropy and singularity of infinite convolutions
- The Entropy of a Certain Infinitely Convolved Bernoulli Measure
- On the Hausdorff dimension of some fractal sets
- A lower bound for Garsia’s entropy for certain Bernoulli convolutions
- Representations for real numbers and their ergodic properties
- On theβ-expansions of real numbers
- Arithmetic Properties of Bernoulli Convolutions
- The equivalence of some Bernoulli convolutions to Lebesgue measure
- Random Series in Powers of Algebraic Integers: Hausdorff Dimension of the Limit Distribution
- Absolute continuity of Bernoulli convolutions for algebraic parameters
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