Bernoulli convolutions associated with certain non—Pisot numbers

DOI10.1007/BF02835531zbMath1057.60044OpenAlexW2316257684MaRDI QIDQ4822598

De-Jun Feng, Yang Wang

Publication date: 25 October 2004

Published in: Analysis in Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02835531

zbMATH Keywords

Pisot numbersSalem numbersBernoulli convolutionsrandom power series, self-similar measures

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) PV-numbers and generalizations; other special algebraic numbers; Mahler measure (11R06) Hausdorff and packing measures (28A78)

Related Items (1)

Orthogonal exponentials, translations, and Bohr completions

Cites Work

• Unnamed Item
• Unnamed Item
• Self-similar measures associated to IFS with non-uniform contraction ratios
• Ergodic properties of the Erdős measure, the entropy of the goldenshift, and related problems
• Dimension of a family of singular Bernoulli convolutions
• On the random series \(\sum\pm\lambda^ n\) (an Erdös problem)
• A dimension formula for Bernoulli convolutions
• Absolute continuity of Bernoulli convolutions, a simple proof
• Smoothness of projections, Bernoulli convolutions, and the dimension of exceptions
• The limited Rademacher functions and Bernoulli convolutions associated with Pisot numbers
• On the Hausdorff dimension of some fractal sets
• Arithmetic Properties of Bernoulli Convolutions
• Fat baker's transformations
• The equivalence of some Bernoulli convolutions to Lebesgue measure
• Self-similar measures and intersections of Cantor sets
• Random Series in Powers of Algebraic Integers: Hausdorff Dimension of the Limit Distribution
• On Symmetric Bernoulli Convolutions

This page was built for publication: Bernoulli convolutions associated with certain non—Pisot numbers