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

How to cite

top

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

top
  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

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.