A method for testing the cosmic homogeneity with Shannon entropy

A method for testing the cosmic homogeneity with Shannon entropy
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DOI:
10.1093/mnras/stt134
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发表时间:
2013-01
影响因子:
4.8
通讯作者:
B. Pandey
B. Pandey
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
B. Pandey

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本文提出了一种基于信息论中Shannon熵的宇宙均匀性检验方法,并在有限空间区域内对一些均匀和非均匀三维点过程进行Monte Carlo模拟时,检验了该方法的潜力和局限性。我们分析了一组N体模拟研究的前景确定的尺度均匀性与所提出的方法,并表明该方法可以作为一个有效的工具,研究均匀性。
We propose a method for testing Cosmic homogeneity based on the Shannon entropy in Information theory and test the potentials and limitations of the method on Monte Carlo simulations of some homogeneous and inhomogeneous 3D point process in a finite region of space. We analyze a set of N-body simulations to investigate the prospect of determining the scale of homogeneity with the proposed method and show that the method could serve as an efficient tool for the study of homogeneity.