Counting \(\beta \)-expansions and the absolute continuity of Bernoulli convolutions

DOI10.1007/s00605-013-0512-3zbMath1368.11006arXiv1203.5698OpenAlexW2068765753MaRDI QIDQ359639

Tom Kempton

Publication date: 12 August 2013

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1203.5698

zbMATH Keywords

Bernoulli convolutionsbeta expansions

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Convolution, factorization for one variable harmonic analysis (42A85) Radix representation; digital problems (11A63)

Related Items

The random continued fraction transformation, Finite orbits in multivalued maps and Bernoulli convolutions, Local dimensions of overlapping self-similar measures, Overlapping Iterated Function Systems from the Perspective of Metric Number Theory, On universal and periodic \(\beta\)-expansions, and the Hausdorff dimension of the set of all expansions, On a family of self-affine sets: Topology, uniqueness, simultaneous expansions, On the invariant density of the random \(\beta\)-transformation, Notes on some of Kahane's works: Ingham type theorems and Bernoulli convolutions, On the complexity of the set of codings for self-similar sets and a variation on the construction of Champernowne, Approximation properties of β-expansions

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