Abstract
The problems of constructing the points sequences with fast uniform distribution in the fractal domains associated with canonical number systems in quadratic fields are considered.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
REFERENCES
L.Kuipers, and H. Niderreiter, Uniform Distribution of Sequences (Interscience Tracts, John Wiley and Sons, NY, 1974)
D.G. Champernowne, The construction of the decimals normal in the scale often, J. Lond. Math. Soc. 8, 264–260 (1933).
N.M. Korobov, O raspredelenii drobnyh doley pokazatel’noj funkcii, Vestnik MGU, serija Matematika I mehanika, 4,42–46 (1966). (in Russian)
N.M. Korobov, Raspredelenie nevychetov I pervoobraznyh kornej v rekurrentnyh rjadah, DAN SSSR, 88, 603–608 (1953). (in Russian)
R. Lidl, and H. Niderreiter, Finite Fields (Addison-Wesly, Reading, Mass., 1983).
I.Kátai, and J. Szabó, Canonical number systems for complex integers, Acta Sci. Math. (Szeged), 37, 255–260 (1975).
I.Kátai, and B. Kovács, Kanonische Zahlensysteme in der Theorie der quadratischen algebraischenZahlen, Acta Sci. Math. (Szeged), 42, 99–107 (1980).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2006 Springer
About this chapter
Cite this chapter
M. CHERNOV, V. (2006). FAST UNIFORM DISTRIBUTION OF SEQUENCES FOR FRACTAL SETS. In: Wojciechowski, K., Smolka, B., Palus, H., Kozera, R., Skarbek, W., Noakes, L. (eds) Computer Vision and Graphics. Computational Imaging and Vision, vol 32. Springer, Dordrecht. https://doi.org/10.1007/1-4020-4179-9_102
Download citation
DOI: https://doi.org/10.1007/1-4020-4179-9_102
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-4020-4178-5
Online ISBN: 978-1-4020-4179-2
eBook Packages: Computer ScienceComputer Science (R0)