宇宙学参数研究中逃逸于收敛场关联层的信息
Information escaping the correlation hierarchy of the convergence field in the study of cosmological parameters
摘要：
使用适合的数值模拟，我们表明，整个层次的时刻迅速停止提供一个完整的描述的收敛一点概率密度函数离开线性制度。这表明，收敛场的完整N点关联函数层次很快变得一般不完整，在非线性尺度上是一个非常差的宇宙学探测器。在单位方差的尺度下，一点概率密度函数的Fisher信息量中只有5%仍然包含在其矩的层次结构中，这表明逃离层次结构的信息比传播到高阶矩的信息的影响要大得多。因此，通过提取整个层次结构可以实现的宇宙学参数的约束变得次优。一个简单的对数映射使得矩层次再次适合于参数提取。
英文摘要：
Using fits to numerical simulations, we show that the entire hierarchy of moments quickly ceases to provide a complete description of the convergence one-point probability density function leaving the linear regime. This suggests that the full N-point correlation function hierarchy of the convergence field becomes quickly generically incomplete and a very poor cosmological probe on nonlinear scales. At the scale of unit variance, only 5% of the Fisher information content of the one-point probability density function is still contained in its hierarchy of moments, making clear that information escaping the hierarchy is a far stronger effect than information propagating to higher order moments. It follows that the constraints on cosmological parameters achievable through extraction of the entire hierarchy become suboptimal by large amounts. A simple logarithmic mapping makes the moment hierarchy well suited again for parameter extraction.
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