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arXiv 1107.1863astro-ph.COmath-phmath.MP
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CMB映射的非高斯极值计数

Non Gaussian extrema counts for CMB maps

Dmitri Pogosyan, Christophe Pichon, Christophe Gay

摘要:

在弱非高斯CMB映射的几何分析的背景下,从各向同性随机场的联合概率分布、梯度和Hessian不变量的全矩展开导出了作为偏移集阈值的函数的二维微分极值计数.在非高斯修正中,给出了这些计数的二阶解析表达式,同时给出了计算它们到任意阶的Monte Carlo方法。匹配计数统计这些估计的基准非高斯“普朗克”数据。

英文摘要:

In the context of the geometrical analysis of weakly non Gaussian CMB maps, the 2D differential extrema counts as functions of the excursion set threshold is derived from the full moments expansion of the joint probability distribution of an isotropic random field, its gradient and invariants of the Hessian. Analytic expressions for these counts are given to second order in the non Gaussian correction, while a Monte Carlo method to compute them to arbitrary order is presented. Matching count statistics to these estimators is illustrated on fiducial non-Gaussian "Planck" data.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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