星系分布的高精度Monte-Carlo模拟
High-precision Monte-Carlo modelling of galaxy distribution
摘要：
我们重新审视的情况下，快速蒙特卡罗模拟的星系位置的非高斯场。更确切地说，我们解决的问题，产生一个三维场与给定的一点函数（作为对数正态函数，但不仅如此）和宇宙学固定的一些功率谱。我们强调和调查的问题，发生时，该字段被过滤，并确定，对数正态分布的情况下，它仍然可以使用的制度。然而，我们表明，过滤是不必要的，如果考虑到混叠效应和精细控制的离散采样步骤。通过这种方式，我们证明了我们所有频谱的次百分比精度，直到奈奎斯特频率。我们扩展的方法来产生一个完整的光锥进化比较两种方法，这样做，并验证我们的方法与层析分析。我们调查分析和数值的协方差矩阵的结构，得到这样的模拟，这可能是有用的，为未来的大和深的调查。
英文摘要：
We revisit the case of fast Monte-Carlo simulations of galaxy positions for a non-gaussian field. More precisely we address the question of generating a 3D field with a given one-point function (as a log-normal one, but not only) and some power-spectrum fixed by cosmology. We highlight and investigate a problem that occurs when the field is filtered and identify, for the log-normal case, a regime where it can still be used. However we show that the filtering is unnecessary if one takes into account aliasing effects and finely controls the discrete sampling step. In this way we demonstrate a sub-percent precision of all our spectra up to the Nyquist frequency. We extend the method to generate a full light cone evolution comparing two methods for doing it and validate our method with a tomographic analysis. We investigate analytically and numerically the structure of the covariance matrices obtained with such simulations which may be useful for future large and deep surveys.
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