Discrepancies of point sequences on the Sierpiński carpet

Ligia-Loretta Cristea; Robert Franz Tichy

Mathematica Slovaca (2003)

  • Volume: 53, Issue: 4, page 351-367
  • ISSN: 0139-9918

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Cristea, Ligia-Loretta, and Tichy, Robert Franz. "Discrepancies of point sequences on the Sierpiński carpet." Mathematica Slovaca 53.4 (2003): 351-367. <http://eudml.org/doc/31589>.

@article{Cristea2003,
author = {Cristea, Ligia-Loretta, Tichy, Robert Franz},
journal = {Mathematica Slovaca},
keywords = {discrepancy; fractal},
language = {eng},
number = {4},
pages = {351-367},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Discrepancies of point sequences on the Sierpiński carpet},
url = {http://eudml.org/doc/31589},
volume = {53},
year = {2003},
}

TY - JOUR
AU - Cristea, Ligia-Loretta
AU - Tichy, Robert Franz
TI - Discrepancies of point sequences on the Sierpiński carpet
JO - Mathematica Slovaca
PY - 2003
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 53
IS - 4
SP - 351
EP - 367
LA - eng
KW - discrepancy; fractal
UR - http://eudml.org/doc/31589
ER -

References

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  1. ALBRECHER H.-MATOUSEK J.-TICHY R. F., Discrepancy of point sequences on fractal sets, Publ. Math. Debrecen 56 (2000), 233-249. Zbl0960.11037MR1765978
  2. CRISTEA L.-L., Geometric Properties of Fractals, Ph.D. Thesis, TU Graz, 2002. 
  3. FALCONER K. J., Fractal Geometry. Mathematical Foundations and Applications, John Wiley &: Sons, Chichester, 1990. (1990) Zbl0689.28003MR1102677
  4. FALCONER K. J., Techniques in Fractal Geometry, John Wiley & Sons, Chichester, 1997. (1997) Zbl0869.28003MR1449135
  5. GRABNER P. J.- TICHY R. F., Equidistribution and Brownian motion on the Sierpiński gasket, Monatsh. Math. 125 (1998), 147-164. (1998) MR1604942
  6. HLAWKA E., The Theory of Uniform Distribution, (Тranslated from tһe German by Henrу Orde with a foreword by S. K. Zaremba). Тopics and Тexts in Math. Vol. 1, A B Academic Publishers (Eastern Press), Reading, 1984. (1984) Zbl0563.10001MR0750652
  7. KLINGER B., Discrepancy of Point Sequences and Numerical Integration, Ph.D. Тhesis, ТU Graz, 1998. (1998) 
  8. KUIPERS L.-NIEDERREITER H., Uniform Distribution of Sequences, Wiley, New York, 1974. (1974) Zbl0281.10001MR0419394

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