\(1/2\)-heavy sequences driven by rotation

DOI10.1007/S00605-014-0662-YzbMath1306.11062arXiv1106.0577OpenAlexW1996105934MaRDI QIDQ478502

David Ralston

Publication date: 3 December 2014

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

Full work available at URL: https://arxiv.org/abs/1106.0577

zbMATH Keywords

Hausdorff dimension\(1/2\)-heavy sequencecircle rotationergodic sumsheavy set

Mathematics Subject Classification ID

Fractals (28A80) Irregularities of distribution, discrepancy (11K38) Notions of recurrence and recurrent behavior in topological dynamical systems (37B20)

Related Items (1)

Heaviness in toral rotations

Cites Work

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• Dynamics on the infinite staircase
• The visits to zero of a random walk driven by an irrational rotation
• Heaviness in toral rotations
• Generic \(\frac12\)-discrepancy of \(\{n \theta+x\}\)
• Substitutions and 1/2-discrepancy of {n θ+ x}
• Continued fractions and heavy sequences
• A Combinatorial Application of the Maximal Ergodic Theorem
• Remarks on the remainder in Birkhoff's ergodic theorem

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