— Cosmic ray density map for the flux-weighted 2MRS galaxies, smoothed with an angular scale σ = 5 ◦ . 

— Cosmic ray density map for the flux-weighted 2MRS galaxies, smoothed with an angular scale σ = 5 ◦ . 

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Data collected by the Pierre Auger Observatory through 31 August 2007 showed evidence for anisotropy in the arrival directions of cosmic rays above the Greisen-Zatsepin-Kuz'min energy threshold, \nobreak{$6\times 10^{19}$eV}. The anisotropy was measured by the fraction of arrival directions that are less than $3.1^\circ$ from the position of an act...

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... corresponding density map is shown on the right panel of the same figure, smoothed with an angular scale σ = 5 ◦ . No isotropic fraction is built into this map to better illustrate the features of the objects in the catalog. We show the density map obtained for the 2MRS catalogue in Fig. 5. Common features can be seen in the two ...

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... However, to quantify these possibilities we can use a statistical test method to measure the correlation between the detected data in both observatories and a collection of possible sources of some kind. As in [15] we can build a likelihood function that depends on the contribution of the sources of a catalog and an anisotropic background of UHECRs, the likelihood function is: ...
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