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Fractal Dimension in the Large Scale Distribution of Galaxies

  • Z.-G. Deng (a1), Z. Wen (a1) and Y.-Z. Liu (a1)

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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

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References

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

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