A natural probability measure derived from Stern’s diatomic sequence

DOI10.4064/aa170709-22-1zbMath1411.11029arXiv1706.00187OpenAlexW2963836306WikidataQ130153870 ScholiaQ130153870MaRDI QIDQ4634557

Michael Baake, Michael Coons

Publication date: 10 April 2018

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.00187

zbMATH Keywords

aperiodic orderBernoulli convolutionregular sequencessingular continuous measuresStern's sequencerenormali sation

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Fractals (28A80) Automata sequences (11B85)

Related Items (7)

Spectral theory of regular sequences ⋮ A sequential view of self--similar measures, or, What the ghosts of Mahler and Cantor can teach us about dimension ⋮ ZAREMBA, SALEM AND THE FRACTAL NATURE OF GHOST DISTRIBUTIONS ⋮ Diophantine approximations. Abstracts from the workshop held April 17--23, 2022 ⋮ On a family of singular continuous measures related to the doubling map ⋮ A diffraction abstraction ⋮ Two arithmetic applications of perturbations of composition operators

Uses Software

• GAP
• OEIS

Cites Work

• The ring of \(k\)-regular sequences
• Joint spectral radius, dilation equations, and asymptotic behavior of radix-rational sequences
• The maximal order of Stern's diatomic sequence
• Spectral and topological properties of a family of generalised Thue-Morse sequences
• Squirals and beyond: substitution tilings with singular continuous spectrum
• Regular Sequences and the Joint Spectral Radius
• Distribution Functions and the Riemann Zeta Function
• On the Smoothness Properties of a Family of Bernoulli Convolutions
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