Third-Order Aperture Mass Statistics of Cosmic Shear
نویسندگان
چکیده
منابع مشابه
Cosmological parameters from combined second - and third - order aperture mass statistics of cosmic shear
We present predictions for cosmological parameter constraints from combined measurements of secondand thirdorder statistics of cosmic shear. We define the generalized third-order aperture mass statistics 〈M3 ap〉 and show that it contains much more information about the bispectrum of the projected matter density than the skewness of the aperture mass. From theoretical models as well as from ΛCDM...
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Abstract. Cosmic shear, the distortion of images of high-redshift sources by the intervening inhomogeneous matter distribution in the Universe, has become one of the essential tools for observational cosmology, since it was first measured in 2000. Since then, several surveys have been conducted and analyzed in terms of second-order shear statistics. Current surveys are on the verge of providing...
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Context. Commonly used methods to decompose Eand B-modes in cosmic shear, namely the aperture mass dispersion and the E/B-mode shear correlation function, suffer from incomplete knowledge of the two-point correlation function (2PCF) on very small and/or very large scales. The ring statistics, the most recently developed cosmic shear measure, improves on this issue and is able to decompose Eand ...
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چکیده: فرض کنید که تابعی از اپسیلون یک مجموع نامتناهی از احتمالات موزون مربوط به مجموع های جزئی براساس یک دنباله از متغیرهای تصادفی مستقل و همتوزیع باشد، و همچنین فرض کنید توابعی مانند g و h وجود دارند که هرگاه امید ریاضی توان دوم x متناهی و امیدریاضی x صفر باشد، در این صورت می توان حد حاصلضرب این توابع را بصورت تابعی از امید ریاضی توان دوم x نوشت. حالت عکس نیز برقرار است. همچنین ما با استفاده...
15 صفحه اولThe consequences of parity symmetry for higher-order statistics of cosmic shear and other polar fields
We consider the parity transformation and the consequences of parity invariance on the n-point correlation function of the cosmic shear, or any other polar (or ‘spin-2’) field. The decomposition of the shear field into Eand B-modes then yields the result that any correlation function which contains an odd number of B-mode shear components vanishes for parity-invariant random shear fields. This ...
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ژورنال
عنوان ژورنال: Proceedings of the International Astronomical Union
سال: 2004
ISSN: 1743-9213,1743-9221
DOI: 10.1017/s1743921305001845