Disorder, renormalizability, theta functions and Cornu spirals

DOI10.1016/0167-2789(87)90230-2zbMath0626.10033OpenAlexW2041929930MaRDI QIDQ580418

Evangelos A. Coutsias, Nicholas D. Kazarinoff

Publication date: 1987

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(87)90230-2

zbMATH Keywords

numerical experimentsself-similaritytheta functioncontinued fraction expansioncomputational number theoryBeatty sequenceCornu-like spiralsdisorder in dynamical systemsdistributions of pointspartial sums of trigonometric seriespictorial representationrenormalization map

Mathematics Subject Classification ID

Continued fractions and generalizations (11J70) Trigonometric and exponential sums (general theory) (11L03) Dynamical systems and ergodic theory (37-XX)

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Cites Work

• Pentaplexity. A class of non-periodic tilings of the plane
• Uniform distribution modulo one: a geometrical viewpoint.
• Incomplete Gauss sums
• Beatty Sequences, Continued Fractions, and Certain Shift Operators
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