Self-similarity and growth in Birkhoff sums for the golden rotation
From MaRDI portal
Publication:3103717
DOI10.1088/0951-7715/24/11/006zbMath1254.11074arXiv1006.0285OpenAlexW3103123516MaRDI QIDQ3103717
Publication date: 8 December 2011
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1006.0285
Central limit and other weak theorems (60F05) Metric theory of continued fractions (11K50) Well-distributed sequences and other variations (11K36)
Related Items (11)
Metric density results for the value distribution of Sudler products ⋮ Asymptotic behaviour of the Sudler product of sines for quadratic irrationals ⋮ On Weyl products and uniform distribution modulo one ⋮ Cauchy-Binet for pseudo-determinants ⋮ On the order of magnitude of Sudler products ⋮ On the metric upper density of Birkhoff sums for irrational rotations ⋮ Maximizing Sudler products via Ostrowski expansions and cotangent sums ⋮ Growth of the Sudler product of sines at the golden rotation number ⋮ On trigonometric skew-products over irrational circle-rotations ⋮ A positive lower bound for liminf_{𝑁→∞}∏ᵣ₌₁^{𝑁}|2sin𝜋𝑟𝜑| ⋮ On the asymptotic behavior of Sudler products along subsequences
This page was built for publication: Self-similarity and growth in Birkhoff sums for the golden rotation
