Substitutions and 1/2-discrepancy of {n θ+ x}

DOI10.4064/AA154-1-1zbMath1272.11092arXiv1105.5810OpenAlexW2962774133MaRDI QIDQ2889252

David Ralston

Publication date: 6 June 2012

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

Full work available at URL: https://arxiv.org/abs/1105.5810

zbMATH Keywords

renormalizationdiscrepancyirrational rotationsubstitution

Mathematics Subject Classification ID

Symbolic dynamics (37B10) Universality and renormalization of dynamical systems (37E20) Irregularities of distribution, discrepancy (11K38)

Related Items (6)

-recurrence in skew products ⋮ On the metric upper density of Birkhoff sums for irrational rotations ⋮ Substitutions, symbolic codings, and discrepancy ⋮ On a Very Steep Version of the Standard Map ⋮ \(1/2\)-heavy sequences driven by rotation ⋮ Pinball dynamics: unlimited energy growth in switching Hamiltonian systems

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