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Fractal Dimension in the Large Scale Distribution of Galaxies

Published online by Cambridge University Press:  03 August 2017

Z.-G. Deng ,
Z. Wen  and
Y.-Z. Liu
Z.-G. Deng
Affiliation:
Department of Physics, Graduate School, Academia Sinica, P.O. Box 3908, Beijing, China
Z. Wen
Affiliation:
Department of Physics, Graduate School, Academia Sinica, P.O. Box 3908, Beijing, China
Y.-Z. Liu
Affiliation:
Department of Physics, Graduate School, Academia Sinica, P.O. Box 3908, Beijing, China

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In this work, we start from the definition of fractal dimension and by the number counting of galaxies to investigate that if the large scale distribution of galaxies has really a fractal structure. A fractal dimension in a distribution of objects is defined as where N(R) is the number of objects within scale R. To find out D from number counting we have to pay attention to that the distribution of galaxies could not be a regular fractal map. The N(R) would understand as a statistical average. To avoid the edge effect appearing in the number counting we compare it with that obtained from an average by many times Monte Carlo sampling which is a uniform distribution and would have Dr = 3. From eq. (1) we get

Type
Appendix 1: Poster Papers
Information
Symposium - International Astronomical Union , Volume 130: Large Scale Structures of the Universe , 1988 , pp. 555
Copyright
Copyright © Reidel 1988 

References

Xia, X.-Y., Deng, Z.-G., and Zhou, Y.-Y., 1986, Proc. of IAU Symp No. 124, p. 647 (D. Reidel Pub. Co., Holland)Google Scholar