论文标题
Renyi熵作为宇宙同质性的度量
Renyi entropy as a measure of cosmic homogeneity
论文作者
论文摘要
我们提出了一种使用Renyi熵在三维空间分布中测试均匀性的方法。我们将所提出的方法应用于宇宙N体模拟和同质泊松点过程的蒙特卡洛模拟中的数据。我们表明，该方法可以有效地表征不均匀性，并确定任何过渡量表（如果存在于这种分布中）。所提出的方法可用于研究当前和未来的银河红移调查中的宇宙均匀性。
We propose a method for testing homogeneity in three dimensional spatial distributions using Renyi entropy. We apply the proposed method to data from cosmological N-body simulations and Monte Carlo simulations of homogeneous Poisson point process. We show that the method can effectively characterize the inhomogeneities and identify any transition scale to homogeneity, if present in such distributions. The proposed method can be used to study the cosmic homogeneity in present and future generation galaxy redshift surveys.
